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Finding the Third Proportional to 42,000 and 62,458

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Solution

The third proportional to 42,000 and 62,458 is: 92,880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,000 : 62,458 = 62,458 : x
  2. Step 2: Convert to fraction form
    42,000/62,458 = 62,458/x
  3. Step 3: Cross multiply
    42,000x = 62,458 × 62,458
  4. Step 4: Simplify right side
    42,000x = 3,901,001,764
  5. Step 5: Solve for x
    x = 3,901,001,764/42,000
  6. Step 6: Final answer
    x = 92,880.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.