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Finding the Third Proportional to 55,254.38 and 83,341.13

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Solution

The third proportional to 55,254.38 and 83,341.13 is: 125,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,254.38 : 83,341.13 = 83,341.13 : x
  2. Step 2: Convert to fraction form
    55,254.38/83,341.13 = 83,341.13/x
  3. Step 3: Cross multiply
    55,254.38x = 83,341.13 × 83,341.13
  4. Step 4: Simplify right side
    55,254.38x = 6,945,743,116.27
  5. Step 5: Solve for x
    x = 6,945,743,116.27/55,254.38
  6. Step 6: Final answer
    x = 125,704.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.