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Finding the Third Proportional to 75,098 and 112,413

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Solution

The third proportional to 75,098 and 112,413 is: 168,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,098 : 112,413 = 112,413 : x
  2. Step 2: Convert to fraction form
    75,098/112,413 = 112,413/x
  3. Step 3: Cross multiply
    75,098x = 112,413 × 112,413
  4. Step 4: Simplify right side
    75,098x = 12,636,682,569
  5. Step 5: Solve for x
    x = 12,636,682,569/75,098
  6. Step 6: Final answer
    x = 168,269.23

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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.