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Finding the Third Proportional to 63,877.50 and 149,199.75

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Solution

The third proportional to 63,877.50 and 149,199.75 is: 348,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,877.50 : 149,199.75 = 149,199.75 : x
  2. Step 2: Convert to fraction form
    63,877.50/149,199.75 = 149,199.75/x
  3. Step 3: Cross multiply
    63,877.50x = 149,199.75 × 149,199.75
  4. Step 4: Simplify right side
    63,877.50x = 22,260,565,400.06
  5. Step 5: Solve for x
    x = 22,260,565,400.06/63,877.50
  6. Step 6: Final answer
    x = 348,488.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.