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Finding the Third Proportional to 76,521 and 165,337.50

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Solution

The third proportional to 76,521 and 165,337.50 is: 357,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,521 : 165,337.50 = 165,337.50 : x
  2. Step 2: Convert to fraction form
    76,521/165,337.50 = 165,337.50/x
  3. Step 3: Cross multiply
    76,521x = 165,337.50 × 165,337.50
  4. Step 4: Simplify right side
    76,521x = 27,336,488,906.25
  5. Step 5: Solve for x
    x = 27,336,488,906.25/76,521
  6. Step 6: Final answer
    x = 357,241.66

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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.