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Finding the Third Proportional to 29,070 and 64,720

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Solution

The third proportional to 29,070 and 64,720 is: 144,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,070 : 64,720 = 64,720 : x
  2. Step 2: Convert to fraction form
    29,070/64,720 = 64,720/x
  3. Step 3: Cross multiply
    29,070x = 64,720 × 64,720
  4. Step 4: Simplify right side
    29,070x = 4,188,678,400
  5. Step 5: Solve for x
    x = 4,188,678,400/29,070
  6. Step 6: Final answer
    x = 144,089.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.