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Finding the Third Proportional to 77,613.75 and 167,470.50

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Solution

The third proportional to 77,613.75 and 167,470.50 is: 361,358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,613.75 : 167,470.50 = 167,470.50 : x
  2. Step 2: Convert to fraction form
    77,613.75/167,470.50 = 167,470.50/x
  3. Step 3: Cross multiply
    77,613.75x = 167,470.50 × 167,470.50
  4. Step 4: Simplify right side
    77,613.75x = 28,046,368,370.25
  5. Step 5: Solve for x
    x = 28,046,368,370.25/77,613.75
  6. Step 6: Final answer
    x = 361,358.24

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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.