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Finding the Third Proportional to 57,042 and 88,155

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Solution

The third proportional to 57,042 and 88,155 is: 136,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,042 : 88,155 = 88,155 : x
  2. Step 2: Convert to fraction form
    57,042/88,155 = 88,155/x
  3. Step 3: Cross multiply
    57,042x = 88,155 × 88,155
  4. Step 4: Simplify right side
    57,042x = 7,771,304,025
  5. Step 5: Solve for x
    x = 7,771,304,025/57,042
  6. Step 6: Final answer
    x = 136,238.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.