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Finding the Third Proportional to 83,288.25 and 130,511.25

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Solution

The third proportional to 83,288.25 and 130,511.25 is: 204,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,288.25 : 130,511.25 = 130,511.25 : x
  2. Step 2: Convert to fraction form
    83,288.25/130,511.25 = 130,511.25/x
  3. Step 3: Cross multiply
    83,288.25x = 130,511.25 × 130,511.25
  4. Step 4: Simplify right side
    83,288.25x = 17,033,186,376.56
  5. Step 5: Solve for x
    x = 17,033,186,376.56/83,288.25
  6. Step 6: Final answer
    x = 204,508.88

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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.