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Finding the Third Proportional to 67,597 and 97,909

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Solution

The third proportional to 67,597 and 97,909 is: 141,813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,597 : 97,909 = 97,909 : x
  2. Step 2: Convert to fraction form
    67,597/97,909 = 97,909/x
  3. Step 3: Cross multiply
    67,597x = 97,909 × 97,909
  4. Step 4: Simplify right side
    67,597x = 9,586,172,281
  5. Step 5: Solve for x
    x = 9,586,172,281/67,597
  6. Step 6: Final answer
    x = 141,813.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.