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Finding the Third Proportional to 83,061.75 and 128,858.25

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Solution

The third proportional to 83,061.75 and 128,858.25 is: 199,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,061.75 : 128,858.25 = 128,858.25 : x
  2. Step 2: Convert to fraction form
    83,061.75/128,858.25 = 128,858.25/x
  3. Step 3: Cross multiply
    83,061.75x = 128,858.25 × 128,858.25
  4. Step 4: Simplify right side
    83,061.75x = 16,604,448,593.06
  5. Step 5: Solve for x
    x = 16,604,448,593.06/83,061.75
  6. Step 6: Final answer
    x = 199,904.87

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