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Finding the Third Proportional to 95,437 and 140,239

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Solution

The third proportional to 95,437 and 140,239 is: 206,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,437 : 140,239 = 140,239 : x
  2. Step 2: Convert to fraction form
    95,437/140,239 = 140,239/x
  3. Step 3: Cross multiply
    95,437x = 140,239 × 140,239
  4. Step 4: Simplify right side
    95,437x = 19,666,977,121
  5. Step 5: Solve for x
    x = 19,666,977,121/95,437
  6. Step 6: Final answer
    x = 206,072.88

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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.