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Finding the Third Proportional to 107,223 and 157,716

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Solution

The third proportional to 107,223 and 157,716 is: 231,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,223 : 157,716 = 157,716 : x
  2. Step 2: Convert to fraction form
    107,223/157,716 = 157,716/x
  3. Step 3: Cross multiply
    107,223x = 157,716 × 157,716
  4. Step 4: Simplify right side
    107,223x = 24,874,336,656
  5. Step 5: Solve for x
    x = 24,874,336,656/107,223
  6. Step 6: Final answer
    x = 231,986.95

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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.