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Finding the Third Proportional to 40,304 and 88,660

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Solution

The third proportional to 40,304 and 88,660 is: 195,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,304 : 88,660 = 88,660 : x
  2. Step 2: Convert to fraction form
    40,304/88,660 = 88,660/x
  3. Step 3: Cross multiply
    40,304x = 88,660 × 88,660
  4. Step 4: Simplify right side
    40,304x = 7,860,595,600
  5. Step 5: Solve for x
    x = 7,860,595,600/40,304
  6. Step 6: Final answer
    x = 195,032.64

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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.