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Finding the Third Proportional to 62,454.13 and 133,831.63

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Solution

The third proportional to 62,454.13 and 133,831.63 is: 286,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,454.13 : 133,831.63 = 133,831.63 : x
  2. Step 2: Convert to fraction form
    62,454.13/133,831.63 = 133,831.63/x
  3. Step 3: Cross multiply
    62,454.13x = 133,831.63 × 133,831.63
  4. Step 4: Simplify right side
    62,454.13x = 17,910,903,850.14
  5. Step 5: Solve for x
    x = 17,910,903,850.14/62,454.13
  6. Step 6: Final answer
    x = 286,784.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.