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Finding the Third Proportional to 63,510.75 and 137,713.50

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Solution

The third proportional to 63,510.75 and 137,713.50 is: 298,610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,510.75 : 137,713.50 = 137,713.50 : x
  2. Step 2: Convert to fraction form
    63,510.75/137,713.50 = 137,713.50/x
  3. Step 3: Cross multiply
    63,510.75x = 137,713.50 × 137,713.50
  4. Step 4: Simplify right side
    63,510.75x = 18,965,008,082.25
  5. Step 5: Solve for x
    x = 18,965,008,082.25/63,510.75
  6. Step 6: Final answer
    x = 298,610.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.