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Finding the Third Proportional to 48,750 and 106,314

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Solution

The third proportional to 48,750 and 106,314 is: 231,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,750 : 106,314 = 106,314 : x
  2. Step 2: Convert to fraction form
    48,750/106,314 = 106,314/x
  3. Step 3: Cross multiply
    48,750x = 106,314 × 106,314
  4. Step 4: Simplify right side
    48,750x = 11,302,666,596
  5. Step 5: Solve for x
    x = 11,302,666,596/48,750
  6. Step 6: Final answer
    x = 231,849.57

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Why These Related Problems?

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