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Finding the Third Proportional to 76,732.95 and 165,537.11

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Solution

The third proportional to 76,732.95 and 165,537.11 is: 357,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,732.95 : 165,537.11 = 165,537.11 : x
  2. Step 2: Convert to fraction form
    76,732.95/165,537.11 = 165,537.11/x
  3. Step 3: Cross multiply
    76,732.95x = 165,537.11 × 165,537.11
  4. Step 4: Simplify right side
    76,732.95x = 27,402,533,286.97
  5. Step 5: Solve for x
    x = 27,402,533,286.97/76,732.95
  6. Step 6: Final answer
    x = 357,115.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.