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Finding the Third Proportional to 73,748 and 158,436

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Solution

The third proportional to 73,748 and 158,436 is: 340,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,748 : 158,436 = 158,436 : x
  2. Step 2: Convert to fraction form
    73,748/158,436 = 158,436/x
  3. Step 3: Cross multiply
    73,748x = 158,436 × 158,436
  4. Step 4: Simplify right side
    73,748x = 25,101,966,096
  5. Step 5: Solve for x
    x = 25,101,966,096/73,748
  6. Step 6: Final answer
    x = 340,374.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.