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Finding the Third Proportional to 80,569.13 and 175,475.25

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Solution

The third proportional to 80,569.13 and 175,475.25 is: 382,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,569.13 : 175,475.25 = 175,475.25 : x
  2. Step 2: Convert to fraction form
    80,569.13/175,475.25 = 175,475.25/x
  3. Step 3: Cross multiply
    80,569.13x = 175,475.25 × 175,475.25
  4. Step 4: Simplify right side
    80,569.13x = 30,791,563,362.56
  5. Step 5: Solve for x
    x = 30,791,563,362.56/80,569.13
  6. Step 6: Final answer
    x = 382,175.72

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