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Finding the Third Proportional to 63,610 and 137,060

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Solution

The third proportional to 63,610 and 137,060 is: 295,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,610 : 137,060 = 137,060 : x
  2. Step 2: Convert to fraction form
    63,610/137,060 = 137,060/x
  3. Step 3: Cross multiply
    63,610x = 137,060 × 137,060
  4. Step 4: Simplify right side
    63,610x = 18,785,443,600
  5. Step 5: Solve for x
    x = 18,785,443,600/63,610
  6. Step 6: Final answer
    x = 295,322.18

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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.