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Finding the Third Proportional to 67,822 and 97,845

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Solution

The third proportional to 67,822 and 97,845 is: 141,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,822 : 97,845 = 97,845 : x
  2. Step 2: Convert to fraction form
    67,822/97,845 = 97,845/x
  3. Step 3: Cross multiply
    67,822x = 97,845 × 97,845
  4. Step 4: Simplify right side
    67,822x = 9,573,644,025
  5. Step 5: Solve for x
    x = 9,573,644,025/67,822
  6. Step 6: Final answer
    x = 141,158.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.