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Finding the Third Proportional to 100,470.38 and 134,024.63

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Solution

The third proportional to 100,470.38 and 134,024.63 is: 178,785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,470.38 : 134,024.63 = 134,024.63 : x
  2. Step 2: Convert to fraction form
    100,470.38/134,024.63 = 134,024.63/x
  3. Step 3: Cross multiply
    100,470.38x = 134,024.63 × 134,024.63
  4. Step 4: Simplify right side
    100,470.38x = 17,962,600,106.39
  5. Step 5: Solve for x
    x = 17,962,600,106.39/100,470.38
  6. Step 6: Final answer
    x = 178,785.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.