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Finding the Third Proportional to 55,902.75 and 83,632.13

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Solution

The third proportional to 55,902.75 and 83,632.13 is: 125,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,902.75 : 83,632.13 = 83,632.13 : x
  2. Step 2: Convert to fraction form
    55,902.75/83,632.13 = 83,632.13/x
  3. Step 3: Cross multiply
    55,902.75x = 83,632.13 × 83,632.13
  4. Step 4: Simplify right side
    55,902.75x = 6,994,332,332.02
  5. Step 5: Solve for x
    x = 6,994,332,332.02/55,902.75
  6. Step 6: Final answer
    x = 125,116.07

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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.