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Finding the Third Proportional to 61,524 and 94,317

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Solution

The third proportional to 61,524 and 94,317 is: 144,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,524 : 94,317 = 94,317 : x
  2. Step 2: Convert to fraction form
    61,524/94,317 = 94,317/x
  3. Step 3: Cross multiply
    61,524x = 94,317 × 94,317
  4. Step 4: Simplify right side
    61,524x = 8,895,696,489
  5. Step 5: Solve for x
    x = 8,895,696,489/61,524
  6. Step 6: Final answer
    x = 144,589.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.