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Finding the Third Proportional to 43,098.75 and 94,182.75

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Solution

The third proportional to 43,098.75 and 94,182.75 is: 205,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,098.75 : 94,182.75 = 94,182.75 : x
  2. Step 2: Convert to fraction form
    43,098.75/94,182.75 = 94,182.75/x
  3. Step 3: Cross multiply
    43,098.75x = 94,182.75 × 94,182.75
  4. Step 4: Simplify right side
    43,098.75x = 8,870,390,397.56
  5. Step 5: Solve for x
    x = 8,870,390,397.56/43,098.75
  6. Step 6: Final answer
    x = 205,815.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.