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Finding the Third Proportional to 75,092 and 112,412

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Solution

The third proportional to 75,092 and 112,412 is: 168,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,092 : 112,412 = 112,412 : x
  2. Step 2: Convert to fraction form
    75,092/112,412 = 112,412/x
  3. Step 3: Cross multiply
    75,092x = 112,412 × 112,412
  4. Step 4: Simplify right side
    75,092x = 12,636,457,744
  5. Step 5: Solve for x
    x = 12,636,457,744/75,092
  6. Step 6: Final answer
    x = 168,279.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.