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Finding the Third Proportional to 147,125 and 207,181

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Solution

The third proportional to 147,125 and 207,181 is: 291,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,125 : 207,181 = 207,181 : x
  2. Step 2: Convert to fraction form
    147,125/207,181 = 207,181/x
  3. Step 3: Cross multiply
    147,125x = 207,181 × 207,181
  4. Step 4: Simplify right side
    147,125x = 42,923,966,761
  5. Step 5: Solve for x
    x = 42,923,966,761/147,125
  6. Step 6: Final answer
    x = 291,751.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.