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Finding the Third Proportional to 62,584 and 94,408

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Solution

The third proportional to 62,584 and 94,408 is: 142,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,584 : 94,408 = 94,408 : x
  2. Step 2: Convert to fraction form
    62,584/94,408 = 94,408/x
  3. Step 3: Cross multiply
    62,584x = 94,408 × 94,408
  4. Step 4: Simplify right side
    62,584x = 8,912,870,464
  5. Step 5: Solve for x
    x = 8,912,870,464/62,584
  6. Step 6: Final answer
    x = 142,414.52

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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.