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Finding the Third Proportional to 80,030.50 and 171,725

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Solution

The third proportional to 80,030.50 and 171,725 is: 368,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,030.50 : 171,725 = 171,725 : x
  2. Step 2: Convert to fraction form
    80,030.50/171,725 = 171,725/x
  3. Step 3: Cross multiply
    80,030.50x = 171,725 × 171,725
  4. Step 4: Simplify right side
    80,030.50x = 29,489,475,625
  5. Step 5: Solve for x
    x = 29,489,475,625/80,030.50
  6. Step 6: Final answer
    x = 368,477.96

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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.