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Finding the Third Proportional to 61,760 and 120,448

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Solution

The third proportional to 61,760 and 120,448 is: 234,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,760 : 120,448 = 120,448 : x
  2. Step 2: Convert to fraction form
    61,760/120,448 = 120,448/x
  3. Step 3: Cross multiply
    61,760x = 120,448 × 120,448
  4. Step 4: Simplify right side
    61,760x = 14,507,720,704
  5. Step 5: Solve for x
    x = 14,507,720,704/61,760
  6. Step 6: Final answer
    x = 234,904.80

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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.