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Finding the Third Proportional to 101,454.38 and 157,707.56

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Solution

The third proportional to 101,454.38 and 157,707.56 is: 245,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,454.38 : 157,707.56 = 157,707.56 : x
  2. Step 2: Convert to fraction form
    101,454.38/157,707.56 = 157,707.56/x
  3. Step 3: Cross multiply
    101,454.38x = 157,707.56 × 157,707.56
  4. Step 4: Simplify right side
    101,454.38x = 24,871,675,269.69
  5. Step 5: Solve for x
    x = 24,871,675,269.69/101,454.38
  6. Step 6: Final answer
    x = 245,151.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.