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Finding the Third Proportional to 76,518 and 165,331.13

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Solution

The third proportional to 76,518 and 165,331.13 is: 357,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,518 : 165,331.13 = 165,331.13 : x
  2. Step 2: Convert to fraction form
    76,518/165,331.13 = 165,331.13/x
  3. Step 3: Cross multiply
    76,518x = 165,331.13 × 165,331.13
  4. Step 4: Simplify right side
    76,518x = 27,334,380,893.77
  5. Step 5: Solve for x
    x = 27,334,380,893.77/76,518
  6. Step 6: Final answer
    x = 357,228.11

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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.