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Finding the Third Proportional to 61,768 and 125,716

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Solution

The third proportional to 61,768 and 125,716 is: 255,868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,768 : 125,716 = 125,716 : x
  2. Step 2: Convert to fraction form
    61,768/125,716 = 125,716/x
  3. Step 3: Cross multiply
    61,768x = 125,716 × 125,716
  4. Step 4: Simplify right side
    61,768x = 15,804,512,656
  5. Step 5: Solve for x
    x = 15,804,512,656/61,768
  6. Step 6: Final answer
    x = 255,868.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.