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Finding the Third Proportional to 63,171.25 and 137,478.50

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Solution

The third proportional to 63,171.25 and 137,478.50 is: 299,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,171.25 : 137,478.50 = 137,478.50 : x
  2. Step 2: Convert to fraction form
    63,171.25/137,478.50 = 137,478.50/x
  3. Step 3: Cross multiply
    63,171.25x = 137,478.50 × 137,478.50
  4. Step 4: Simplify right side
    63,171.25x = 18,900,337,962.25
  5. Step 5: Solve for x
    x = 18,900,337,962.25/63,171.25
  6. Step 6: Final answer
    x = 299,192.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.