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Finding the Third Proportional to 78,565 and 169,681

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Solution

The third proportional to 78,565 and 169,681 is: 366,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,565 : 169,681 = 169,681 : x
  2. Step 2: Convert to fraction form
    78,565/169,681 = 169,681/x
  3. Step 3: Cross multiply
    78,565x = 169,681 × 169,681
  4. Step 4: Simplify right side
    78,565x = 28,791,641,761
  5. Step 5: Solve for x
    x = 28,791,641,761/78,565
  6. Step 6: Final answer
    x = 366,469.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.