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Finding the Third Proportional to 37,140.19 and 78,882.19

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Solution

The third proportional to 37,140.19 and 78,882.19 is: 167,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,140.19 : 78,882.19 = 78,882.19 : x
  2. Step 2: Convert to fraction form
    37,140.19/78,882.19 = 78,882.19/x
  3. Step 3: Cross multiply
    37,140.19x = 78,882.19 × 78,882.19
  4. Step 4: Simplify right side
    37,140.19x = 6,222,399,504.79
  5. Step 5: Solve for x
    x = 6,222,399,504.79/37,140.19
  6. Step 6: Final answer
    x = 167,538.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.