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Finding the Third Proportional to 40,206 and 88,432

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Solution

The third proportional to 40,206 and 88,432 is: 194,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,206 : 88,432 = 88,432 : x
  2. Step 2: Convert to fraction form
    40,206/88,432 = 88,432/x
  3. Step 3: Cross multiply
    40,206x = 88,432 × 88,432
  4. Step 4: Simplify right side
    40,206x = 7,820,218,624
  5. Step 5: Solve for x
    x = 7,820,218,624/40,206
  6. Step 6: Final answer
    x = 194,503.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.