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Finding the Third Proportional to 106,758 and 157,065

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Solution

The third proportional to 106,758 and 157,065 is: 231,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,758 : 157,065 = 157,065 : x
  2. Step 2: Convert to fraction form
    106,758/157,065 = 157,065/x
  3. Step 3: Cross multiply
    106,758x = 157,065 × 157,065
  4. Step 4: Simplify right side
    106,758x = 24,669,414,225
  5. Step 5: Solve for x
    x = 24,669,414,225/106,758
  6. Step 6: Final answer
    x = 231,077.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.