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Finding the Third Proportional to 40,332 and 87,662

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Solution

The third proportional to 40,332 and 87,662 is: 190,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,332 : 87,662 = 87,662 : x
  2. Step 2: Convert to fraction form
    40,332/87,662 = 87,662/x
  3. Step 3: Cross multiply
    40,332x = 87,662 × 87,662
  4. Step 4: Simplify right side
    40,332x = 7,684,626,244
  5. Step 5: Solve for x
    x = 7,684,626,244/40,332
  6. Step 6: Final answer
    x = 190,534.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.