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Finding the Third Proportional to 83,261.25 and 130,470.75

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Solution

The third proportional to 83,261.25 and 130,470.75 is: 204,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,261.25 : 130,470.75 = 130,470.75 : x
  2. Step 2: Convert to fraction form
    83,261.25/130,470.75 = 130,470.75/x
  3. Step 3: Cross multiply
    83,261.25x = 130,470.75 × 130,470.75
  4. Step 4: Simplify right side
    83,261.25x = 17,022,616,605.56
  5. Step 5: Solve for x
    x = 17,022,616,605.56/83,261.25
  6. Step 6: Final answer
    x = 204,448.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.