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Finding the Third Proportional to 85,371 and 141,566

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Solution

The third proportional to 85,371 and 141,566 is: 234,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,371 : 141,566 = 141,566 : x
  2. Step 2: Convert to fraction form
    85,371/141,566 = 141,566/x
  3. Step 3: Cross multiply
    85,371x = 141,566 × 141,566
  4. Step 4: Simplify right side
    85,371x = 20,040,932,356
  5. Step 5: Solve for x
    x = 20,040,932,356/85,371
  6. Step 6: Final answer
    x = 234,751.06

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.