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Finding the Third Proportional to 61,768 and 120,464

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Solution

The third proportional to 61,768 and 120,464 is: 234,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,768 : 120,464 = 120,464 : x
  2. Step 2: Convert to fraction form
    61,768/120,464 = 120,464/x
  3. Step 3: Cross multiply
    61,768x = 120,464 × 120,464
  4. Step 4: Simplify right side
    61,768x = 14,511,575,296
  5. Step 5: Solve for x
    x = 14,511,575,296/61,768
  6. Step 6: Final answer
    x = 234,936.78

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.