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Finding the Third Proportional to 61,617 and 92,864

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Solution

The third proportional to 61,617 and 92,864 is: 139,956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,617 : 92,864 = 92,864 : x
  2. Step 2: Convert to fraction form
    61,617/92,864 = 92,864/x
  3. Step 3: Cross multiply
    61,617x = 92,864 × 92,864
  4. Step 4: Simplify right side
    61,617x = 8,623,722,496
  5. Step 5: Solve for x
    x = 8,623,722,496/61,617
  6. Step 6: Final answer
    x = 139,956.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.