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Finding the Third Proportional to 87,033 and 131,242.50

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Solution

The third proportional to 87,033 and 131,242.50 is: 197,908.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,033 : 131,242.50 = 131,242.50 : x
  2. Step 2: Convert to fraction form
    87,033/131,242.50 = 131,242.50/x
  3. Step 3: Cross multiply
    87,033x = 131,242.50 × 131,242.50
  4. Step 4: Simplify right side
    87,033x = 17,224,593,806.25
  5. Step 5: Solve for x
    x = 17,224,593,806.25/87,033
  6. Step 6: Final answer
    x = 197,908.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.