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Finding the Third Proportional to 87,033 and 185,445.75

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Solution

The third proportional to 87,033 and 185,445.75 is: 395,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,033 : 185,445.75 = 185,445.75 : x
  2. Step 2: Convert to fraction form
    87,033/185,445.75 = 185,445.75/x
  3. Step 3: Cross multiply
    87,033x = 185,445.75 × 185,445.75
  4. Step 4: Simplify right side
    87,033x = 34,390,126,193.06
  5. Step 5: Solve for x
    x = 34,390,126,193.06/87,033
  6. Step 6: Final answer
    x = 395,138.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.