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Finding the Third Proportional to 80,625 and 175,053

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Solution

The third proportional to 80,625 and 175,053 is: 380,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,625 : 175,053 = 175,053 : x
  2. Step 2: Convert to fraction form
    80,625/175,053 = 175,053/x
  3. Step 3: Cross multiply
    80,625x = 175,053 × 175,053
  4. Step 4: Simplify right side
    80,625x = 30,643,552,809
  5. Step 5: Solve for x
    x = 30,643,552,809/80,625
  6. Step 6: Final answer
    x = 380,075.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.