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Finding the Third Proportional to 71,308.50 and 125,119.50

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Solution

The third proportional to 71,308.50 and 125,119.50 is: 219,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,308.50 : 125,119.50 = 125,119.50 : x
  2. Step 2: Convert to fraction form
    71,308.50/125,119.50 = 125,119.50/x
  3. Step 3: Cross multiply
    71,308.50x = 125,119.50 × 125,119.50
  4. Step 4: Simplify right side
    71,308.50x = 15,654,889,280.25
  5. Step 5: Solve for x
    x = 15,654,889,280.25/71,308.50
  6. Step 6: Final answer
    x = 219,537.49

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.