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Finding the Third Proportional to 67,831.17 and 144,668.53

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Solution

The third proportional to 67,831.17 and 144,668.53 is: 308,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,831.17 : 144,668.53 = 144,668.53 : x
  2. Step 2: Convert to fraction form
    67,831.17/144,668.53 = 144,668.53/x
  3. Step 3: Cross multiply
    67,831.17x = 144,668.53 × 144,668.53
  4. Step 4: Simplify right side
    67,831.17x = 20,928,983,934.03
  5. Step 5: Solve for x
    x = 20,928,983,934.03/67,831.17
  6. Step 6: Final answer
    x = 308,545.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.