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Finding the Third Proportional to 144,055.13 and 156,972.09

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Solution

The third proportional to 144,055.13 and 156,972.09 is: 171,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,055.13 : 156,972.09 = 156,972.09 : x
  2. Step 2: Convert to fraction form
    144,055.13/156,972.09 = 156,972.09/x
  3. Step 3: Cross multiply
    144,055.13x = 156,972.09 × 156,972.09
  4. Step 4: Simplify right side
    144,055.13x = 24,640,238,216.26
  5. Step 5: Solve for x
    x = 24,640,238,216.26/144,055.13
  6. Step 6: Final answer
    x = 171,047.29

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.