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Finding the Third Proportional to 79,890.47 and 174,080.53

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Solution

The third proportional to 79,890.47 and 174,080.53 is: 379,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,890.47 : 174,080.53 = 174,080.53 : x
  2. Step 2: Convert to fraction form
    79,890.47/174,080.53 = 174,080.53/x
  3. Step 3: Cross multiply
    79,890.47x = 174,080.53 × 174,080.53
  4. Step 4: Simplify right side
    79,890.47x = 30,304,031,360.28
  5. Step 5: Solve for x
    x = 30,304,031,360.28/79,890.47
  6. Step 6: Final answer
    x = 379,319.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.