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Finding the Third Proportional to 63,463.50 and 137,851.88

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Solution

The third proportional to 63,463.50 and 137,851.88 is: 299,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,463.50 : 137,851.88 = 137,851.88 : x
  2. Step 2: Convert to fraction form
    63,463.50/137,851.88 = 137,851.88/x
  3. Step 3: Cross multiply
    63,463.50x = 137,851.88 × 137,851.88
  4. Step 4: Simplify right side
    63,463.50x = 19,003,139,441.02
  5. Step 5: Solve for x
    x = 19,003,139,441.02/63,463.50
  6. Step 6: Final answer
    x = 299,434.15

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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.