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Finding the Third Proportional to 72,502 and 97,566

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Solution

The third proportional to 72,502 and 97,566 is: 131,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,502 : 97,566 = 97,566 : x
  2. Step 2: Convert to fraction form
    72,502/97,566 = 97,566/x
  3. Step 3: Cross multiply
    72,502x = 97,566 × 97,566
  4. Step 4: Simplify right side
    72,502x = 9,519,124,356
  5. Step 5: Solve for x
    x = 9,519,124,356/72,502
  6. Step 6: Final answer
    x = 131,294.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.