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Finding the Third Proportional to 71,976.94 and 148,564.13

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Solution

The third proportional to 71,976.94 and 148,564.13 is: 306,644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,976.94 : 148,564.13 = 148,564.13 : x
  2. Step 2: Convert to fraction form
    71,976.94/148,564.13 = 148,564.13/x
  3. Step 3: Cross multiply
    71,976.94x = 148,564.13 × 148,564.13
  4. Step 4: Simplify right side
    71,976.94x = 22,071,299,237.02
  5. Step 5: Solve for x
    x = 22,071,299,237.02/71,976.94
  6. Step 6: Final answer
    x = 306,644.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.