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Finding the Third Proportional to 80,281.13 and 174,862.13

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Solution

The third proportional to 80,281.13 and 174,862.13 is: 380,871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,281.13 : 174,862.13 = 174,862.13 : x
  2. Step 2: Convert to fraction form
    80,281.13/174,862.13 = 174,862.13/x
  3. Step 3: Cross multiply
    80,281.13x = 174,862.13 × 174,862.13
  4. Step 4: Simplify right side
    80,281.13x = 30,576,762,759.52
  5. Step 5: Solve for x
    x = 30,576,762,759.52/80,281.13
  6. Step 6: Final answer
    x = 380,871.13

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Why These Related Problems?

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