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Finding the Third Proportional to 123,022.13 and 157,195.69

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Solution

The third proportional to 123,022.13 and 157,195.69 is: 200,862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,022.13 : 157,195.69 = 157,195.69 : x
  2. Step 2: Convert to fraction form
    123,022.13/157,195.69 = 157,195.69/x
  3. Step 3: Cross multiply
    123,022.13x = 157,195.69 × 157,195.69
  4. Step 4: Simplify right side
    123,022.13x = 24,710,484,168.60
  5. Step 5: Solve for x
    x = 24,710,484,168.60/123,022.13
  6. Step 6: Final answer
    x = 200,862.11

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.