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Finding the Third Proportional to 63,639 and 137,112

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Solution

The third proportional to 63,639 and 137,112 is: 295,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,639 : 137,112 = 137,112 : x
  2. Step 2: Convert to fraction form
    63,639/137,112 = 137,112/x
  3. Step 3: Cross multiply
    63,639x = 137,112 × 137,112
  4. Step 4: Simplify right side
    63,639x = 18,799,700,544
  5. Step 5: Solve for x
    x = 18,799,700,544/63,639
  6. Step 6: Final answer
    x = 295,411.63

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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.