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Finding the Third Proportional to 95,047 and 132,883

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Solution

The third proportional to 95,047 and 132,883 is: 185,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,047 : 132,883 = 132,883 : x
  2. Step 2: Convert to fraction form
    95,047/132,883 = 132,883/x
  3. Step 3: Cross multiply
    95,047x = 132,883 × 132,883
  4. Step 4: Simplify right side
    95,047x = 17,657,891,689
  5. Step 5: Solve for x
    x = 17,657,891,689/95,047
  6. Step 6: Final answer
    x = 185,780.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.