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Finding the Third Proportional to 61,306 and 82,385

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Solution

The third proportional to 61,306 and 82,385 is: 110,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,306 : 82,385 = 82,385 : x
  2. Step 2: Convert to fraction form
    61,306/82,385 = 82,385/x
  3. Step 3: Cross multiply
    61,306x = 82,385 × 82,385
  4. Step 4: Simplify right side
    61,306x = 6,787,288,225
  5. Step 5: Solve for x
    x = 6,787,288,225/61,306
  6. Step 6: Final answer
    x = 110,711.65

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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.