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Finding the Third Proportional to 58,282 and 88,118

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Solution

The third proportional to 58,282 and 88,118 is: 133,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,282 : 88,118 = 88,118 : x
  2. Step 2: Convert to fraction form
    58,282/88,118 = 88,118/x
  3. Step 3: Cross multiply
    58,282x = 88,118 × 88,118
  4. Step 4: Simplify right side
    58,282x = 7,764,781,924
  5. Step 5: Solve for x
    x = 7,764,781,924/58,282
  6. Step 6: Final answer
    x = 133,227.79

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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.