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Finding the Third Proportional to 37,140.19 and 80,056.69

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Solution

The third proportional to 37,140.19 and 80,056.69 is: 172,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,140.19 : 80,056.69 = 80,056.69 : x
  2. Step 2: Convert to fraction form
    37,140.19/80,056.69 = 80,056.69/x
  3. Step 3: Cross multiply
    37,140.19x = 80,056.69 × 80,056.69
  4. Step 4: Simplify right side
    37,140.19x = 6,409,073,213.47
  5. Step 5: Solve for x
    x = 6,409,073,213.47/37,140.19
  6. Step 6: Final answer
    x = 172,564.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.