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Finding the Third Proportional to 111,142.13 and 176,554.13

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Solution

The third proportional to 111,142.13 and 176,554.13 is: 280,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,142.13 : 176,554.13 = 176,554.13 : x
  2. Step 2: Convert to fraction form
    111,142.13/176,554.13 = 176,554.13/x
  3. Step 3: Cross multiply
    111,142.13x = 176,554.13 × 176,554.13
  4. Step 4: Simplify right side
    111,142.13x = 31,171,359,054.52
  5. Step 5: Solve for x
    x = 31,171,359,054.52/111,142.13
  6. Step 6: Final answer
    x = 280,463.95

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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.