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Finding the Third Proportional to 61,597 and 88,076

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Solution

The third proportional to 61,597 and 88,076 is: 125,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,597 : 88,076 = 88,076 : x
  2. Step 2: Convert to fraction form
    61,597/88,076 = 88,076/x
  3. Step 3: Cross multiply
    61,597x = 88,076 × 88,076
  4. Step 4: Simplify right side
    61,597x = 7,757,381,776
  5. Step 5: Solve for x
    x = 7,757,381,776/61,597
  6. Step 6: Final answer
    x = 125,937.66

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.