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Finding the Third Proportional to 131,658 and 188,139

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Solution

The third proportional to 131,658 and 188,139 is: 268,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,658 : 188,139 = 188,139 : x
  2. Step 2: Convert to fraction form
    131,658/188,139 = 188,139/x
  3. Step 3: Cross multiply
    131,658x = 188,139 × 188,139
  4. Step 4: Simplify right side
    131,658x = 35,396,283,321
  5. Step 5: Solve for x
    x = 35,396,283,321/131,658
  6. Step 6: Final answer
    x = 268,850.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.