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Finding the Third Proportional to 40,929 and 88,155

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Solution

The third proportional to 40,929 and 88,155 is: 189,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,929 : 88,155 = 88,155 : x
  2. Step 2: Convert to fraction form
    40,929/88,155 = 88,155/x
  3. Step 3: Cross multiply
    40,929x = 88,155 × 88,155
  4. Step 4: Simplify right side
    40,929x = 7,771,304,025
  5. Step 5: Solve for x
    x = 7,771,304,025/40,929
  6. Step 6: Final answer
    x = 189,872.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.