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Finding the Third Proportional to 55,350.75 and 83,083.13

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Solution

The third proportional to 55,350.75 and 83,083.13 is: 124,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,350.75 : 83,083.13 = 83,083.13 : x
  2. Step 2: Convert to fraction form
    55,350.75/83,083.13 = 83,083.13/x
  3. Step 3: Cross multiply
    55,350.75x = 83,083.13 × 83,083.13
  4. Step 4: Simplify right side
    55,350.75x = 6,902,805,659.77
  5. Step 5: Solve for x
    x = 6,902,805,659.77/55,350.75
  6. Step 6: Final answer
    x = 124,710.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.