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Finding the Third Proportional to 87,722.30 and 133,225.17

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Solution

The third proportional to 87,722.30 and 133,225.17 is: 202,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,722.30 : 133,225.17 = 133,225.17 : x
  2. Step 2: Convert to fraction form
    87,722.30/133,225.17 = 133,225.17/x
  3. Step 3: Cross multiply
    87,722.30x = 133,225.17 × 133,225.17
  4. Step 4: Simplify right side
    87,722.30x = 17,748,946,421.12
  5. Step 5: Solve for x
    x = 17,748,946,421.12/87,722.30
  6. Step 6: Final answer
    x = 202,331.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.