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Finding the Third Proportional to 74,156 and 108,438

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Solution

The third proportional to 74,156 and 108,438 is: 158,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,156 : 108,438 = 108,438 : x
  2. Step 2: Convert to fraction form
    74,156/108,438 = 108,438/x
  3. Step 3: Cross multiply
    74,156x = 108,438 × 108,438
  4. Step 4: Simplify right side
    74,156x = 11,758,799,844
  5. Step 5: Solve for x
    x = 11,758,799,844/74,156
  6. Step 6: Final answer
    x = 158,568.42

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.