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Finding the Third Proportional to 37,246.50 and 81,456.19

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Solution

The third proportional to 37,246.50 and 81,456.19 is: 178,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,246.50 : 81,456.19 = 81,456.19 : x
  2. Step 2: Convert to fraction form
    37,246.50/81,456.19 = 81,456.19/x
  3. Step 3: Cross multiply
    37,246.50x = 81,456.19 × 81,456.19
  4. Step 4: Simplify right side
    37,246.50x = 6,635,110,482.04
  5. Step 5: Solve for x
    x = 6,635,110,482.04/37,246.50
  6. Step 6: Final answer
    x = 178,140.51

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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.