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Finding the Third Proportional to 63,389 and 137,723.50

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Solution

The third proportional to 63,389 and 137,723.50 is: 299,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,389 : 137,723.50 = 137,723.50 : x
  2. Step 2: Convert to fraction form
    63,389/137,723.50 = 137,723.50/x
  3. Step 3: Cross multiply
    63,389x = 137,723.50 × 137,723.50
  4. Step 4: Simplify right side
    63,389x = 18,967,762,452.25
  5. Step 5: Solve for x
    x = 18,967,762,452.25/63,389
  6. Step 6: Final answer
    x = 299,227.98

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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.