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Finding the Third Proportional to 111,057.75 and 176,428.13

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Solution

The third proportional to 111,057.75 and 176,428.13 is: 280,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,057.75 : 176,428.13 = 176,428.13 : x
  2. Step 2: Convert to fraction form
    111,057.75/176,428.13 = 176,428.13/x
  3. Step 3: Cross multiply
    111,057.75x = 176,428.13 × 176,428.13
  4. Step 4: Simplify right side
    111,057.75x = 31,126,883,291.02
  5. Step 5: Solve for x
    x = 31,126,883,291.02/111,057.75
  6. Step 6: Final answer
    x = 280,276.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.