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Finding the Third Proportional to 59,908 and 142,458

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Solution

The third proportional to 59,908 and 142,458 is: 338,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,908 : 142,458 = 142,458 : x
  2. Step 2: Convert to fraction form
    59,908/142,458 = 142,458/x
  3. Step 3: Cross multiply
    59,908x = 142,458 × 142,458
  4. Step 4: Simplify right side
    59,908x = 20,294,281,764
  5. Step 5: Solve for x
    x = 20,294,281,764/59,908
  6. Step 6: Final answer
    x = 338,757.46

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.