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Finding the Third Proportional to 34,316.16 and 80,171.02

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Solution

The third proportional to 34,316.16 and 80,171.02 is: 187,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,316.16 : 80,171.02 = 80,171.02 : x
  2. Step 2: Convert to fraction form
    34,316.16/80,171.02 = 80,171.02/x
  3. Step 3: Cross multiply
    34,316.16x = 80,171.02 × 80,171.02
  4. Step 4: Simplify right side
    34,316.16x = 6,427,391,746.34
  5. Step 5: Solve for x
    x = 6,427,391,746.34/34,316.16
  6. Step 6: Final answer
    x = 187,299.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.