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Finding the Third Proportional to 111,117.38 and 176,518.13

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Solution

The third proportional to 111,117.38 and 176,518.13 is: 280,412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,117.38 : 176,518.13 = 176,518.13 : x
  2. Step 2: Convert to fraction form
    111,117.38/176,518.13 = 176,518.13/x
  3. Step 3: Cross multiply
    111,117.38x = 176,518.13 × 176,518.13
  4. Step 4: Simplify right side
    111,117.38x = 31,158,648,453.52
  5. Step 5: Solve for x
    x = 31,158,648,453.52/111,117.38
  6. Step 6: Final answer
    x = 280,412.03

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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.