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Finding the Third Proportional to 74,792 and 112,182

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Solution

The third proportional to 74,792 and 112,182 is: 168,264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,792 : 112,182 = 112,182 : x
  2. Step 2: Convert to fraction form
    74,792/112,182 = 112,182/x
  3. Step 3: Cross multiply
    74,792x = 112,182 × 112,182
  4. Step 4: Simplify right side
    74,792x = 12,584,801,124
  5. Step 5: Solve for x
    x = 12,584,801,124/74,792
  6. Step 6: Final answer
    x = 168,264.00

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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.