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Finding the Third Proportional to 62,466 and 89,027

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Solution

The third proportional to 62,466 and 89,027 is: 126,881.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,466 : 89,027 = 89,027 : x
  2. Step 2: Convert to fraction form
    62,466/89,027 = 89,027/x
  3. Step 3: Cross multiply
    62,466x = 89,027 × 89,027
  4. Step 4: Simplify right side
    62,466x = 7,925,806,729
  5. Step 5: Solve for x
    x = 7,925,806,729/62,466
  6. Step 6: Final answer
    x = 126,881.93

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Why These Related Problems?

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