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Finding the Third Proportional to 72,654 and 97,443

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Solution

The third proportional to 72,654 and 97,443 is: 130,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,654 : 97,443 = 97,443 : x
  2. Step 2: Convert to fraction form
    72,654/97,443 = 97,443/x
  3. Step 3: Cross multiply
    72,654x = 97,443 × 97,443
  4. Step 4: Simplify right side
    72,654x = 9,495,138,249
  5. Step 5: Solve for x
    x = 9,495,138,249/72,654
  6. Step 6: Final answer
    x = 130,689.82

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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.