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Finding the Third Proportional to 66,888 and 157,888

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Solution

The third proportional to 66,888 and 157,888 is: 372,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,888 : 157,888 = 157,888 : x
  2. Step 2: Convert to fraction form
    66,888/157,888 = 157,888/x
  3. Step 3: Cross multiply
    66,888x = 157,888 × 157,888
  4. Step 4: Simplify right side
    66,888x = 24,928,620,544
  5. Step 5: Solve for x
    x = 24,928,620,544/66,888
  6. Step 6: Final answer
    x = 372,691.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.