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Finding the Third Proportional to 85,242.38 and 126,211.50

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Solution

The third proportional to 85,242.38 and 126,211.50 is: 186,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,242.38 : 126,211.50 = 126,211.50 : x
  2. Step 2: Convert to fraction form
    85,242.38/126,211.50 = 126,211.50/x
  3. Step 3: Cross multiply
    85,242.38x = 126,211.50 × 126,211.50
  4. Step 4: Simplify right side
    85,242.38x = 15,929,342,732.25
  5. Step 5: Solve for x
    x = 15,929,342,732.25/85,242.38
  6. Step 6: Final answer
    x = 186,871.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.