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Finding the Third Proportional to 91,847 and 141,862

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Solution

The third proportional to 91,847 and 141,862 is: 219,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,847 : 141,862 = 141,862 : x
  2. Step 2: Convert to fraction form
    91,847/141,862 = 141,862/x
  3. Step 3: Cross multiply
    91,847x = 141,862 × 141,862
  4. Step 4: Simplify right side
    91,847x = 20,124,827,044
  5. Step 5: Solve for x
    x = 20,124,827,044/91,847
  6. Step 6: Final answer
    x = 219,112.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.