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Finding the Third Proportional to 85,232.25 and 124,750.13

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Solution

The third proportional to 85,232.25 and 124,750.13 is: 182,590.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,232.25 : 124,750.13 = 124,750.13 : x
  2. Step 2: Convert to fraction form
    85,232.25/124,750.13 = 124,750.13/x
  3. Step 3: Cross multiply
    85,232.25x = 124,750.13 × 124,750.13
  4. Step 4: Simplify right side
    85,232.25x = 15,562,593,687.52
  5. Step 5: Solve for x
    x = 15,562,593,687.52/85,232.25
  6. Step 6: Final answer
    x = 182,590.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.