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Finding the Third Proportional to 74,564 and 112,932

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Solution

The third proportional to 74,564 and 112,932 is: 171,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,564 : 112,932 = 112,932 : x
  2. Step 2: Convert to fraction form
    74,564/112,932 = 112,932/x
  3. Step 3: Cross multiply
    74,564x = 112,932 × 112,932
  4. Step 4: Simplify right side
    74,564x = 12,753,636,624
  5. Step 5: Solve for x
    x = 12,753,636,624/74,564
  6. Step 6: Final answer
    x = 171,042.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.