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Finding the Third Proportional to 107,306 and 157,667

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Solution

The third proportional to 107,306 and 157,667 is: 231,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,306 : 157,667 = 157,667 : x
  2. Step 2: Convert to fraction form
    107,306/157,667 = 157,667/x
  3. Step 3: Cross multiply
    107,306x = 157,667 × 157,667
  4. Step 4: Simplify right side
    107,306x = 24,858,882,889
  5. Step 5: Solve for x
    x = 24,858,882,889/107,306
  6. Step 6: Final answer
    x = 231,663.49

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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.