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Finding the Third Proportional to 72,656 and 97,446

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Solution

The third proportional to 72,656 and 97,446 is: 130,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,656 : 97,446 = 97,446 : x
  2. Step 2: Convert to fraction form
    72,656/97,446 = 97,446/x
  3. Step 3: Cross multiply
    72,656x = 97,446 × 97,446
  4. Step 4: Simplify right side
    72,656x = 9,495,722,916
  5. Step 5: Solve for x
    x = 9,495,722,916/72,656
  6. Step 6: Final answer
    x = 130,694.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.