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Finding the Third Proportional to 63,882 and 149,209.50

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Solution

The third proportional to 63,882 and 149,209.50 is: 348,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,882 : 149,209.50 = 149,209.50 : x
  2. Step 2: Convert to fraction form
    63,882/149,209.50 = 149,209.50/x
  3. Step 3: Cross multiply
    63,882x = 149,209.50 × 149,209.50
  4. Step 4: Simplify right side
    63,882x = 22,263,474,890.25
  5. Step 5: Solve for x
    x = 22,263,474,890.25/63,882
  6. Step 6: Final answer
    x = 348,509.36

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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.