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Finding the Third Proportional to 62,466 and 87,875

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Solution

The third proportional to 62,466 and 87,875 is: 123,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,466 : 87,875 = 87,875 : x
  2. Step 2: Convert to fraction form
    62,466/87,875 = 87,875/x
  3. Step 3: Cross multiply
    62,466x = 87,875 × 87,875
  4. Step 4: Simplify right side
    62,466x = 7,722,015,625
  5. Step 5: Solve for x
    x = 7,722,015,625/62,466
  6. Step 6: Final answer
    x = 123,619.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.