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Finding the Third Proportional to 80,373.50 and 173,069

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Solution

The third proportional to 80,373.50 and 173,069 is: 372,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,373.50 : 173,069 = 173,069 : x
  2. Step 2: Convert to fraction form
    80,373.50/173,069 = 173,069/x
  3. Step 3: Cross multiply
    80,373.50x = 173,069 × 173,069
  4. Step 4: Simplify right side
    80,373.50x = 29,952,878,761
  5. Step 5: Solve for x
    x = 29,952,878,761/80,373.50
  6. Step 6: Final answer
    x = 372,671.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.