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Finding the Third Proportional to 76,117.50 and 165,201.75

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Solution

The third proportional to 76,117.50 and 165,201.75 is: 358,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,117.50 : 165,201.75 = 165,201.75 : x
  2. Step 2: Convert to fraction form
    76,117.50/165,201.75 = 165,201.75/x
  3. Step 3: Cross multiply
    76,117.50x = 165,201.75 × 165,201.75
  4. Step 4: Simplify right side
    76,117.50x = 27,291,618,203.06
  5. Step 5: Solve for x
    x = 27,291,618,203.06/76,117.50
  6. Step 6: Final answer
    x = 358,545.91

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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.