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Finding the Third Proportional to 79,976 and 175,017.50

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Solution

The third proportional to 79,976 and 175,017.50 is: 383,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,976 : 175,017.50 = 175,017.50 : x
  2. Step 2: Convert to fraction form
    79,976/175,017.50 = 175,017.50/x
  3. Step 3: Cross multiply
    79,976x = 175,017.50 × 175,017.50
  4. Step 4: Simplify right side
    79,976x = 30,631,125,306.25
  5. Step 5: Solve for x
    x = 30,631,125,306.25/79,976
  6. Step 6: Final answer
    x = 383,003.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.