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Finding the Third Proportional to 76,174.88 and 165,061.13

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Solution

The third proportional to 76,174.88 and 165,061.13 is: 357,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,174.88 : 165,061.13 = 165,061.13 : x
  2. Step 2: Convert to fraction form
    76,174.88/165,061.13 = 165,061.13/x
  3. Step 3: Cross multiply
    76,174.88x = 165,061.13 × 165,061.13
  4. Step 4: Simplify right side
    76,174.88x = 27,245,174,986.27
  5. Step 5: Solve for x
    x = 27,245,174,986.27/76,174.88
  6. Step 6: Final answer
    x = 357,666.16

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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.