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Finding the Third Proportional to 61,789 and 127,950

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Solution

The third proportional to 61,789 and 127,950 is: 264,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,789 : 127,950 = 127,950 : x
  2. Step 2: Convert to fraction form
    61,789/127,950 = 127,950/x
  3. Step 3: Cross multiply
    61,789x = 127,950 × 127,950
  4. Step 4: Simplify right side
    61,789x = 16,371,202,500
  5. Step 5: Solve for x
    x = 16,371,202,500/61,789
  6. Step 6: Final answer
    x = 264,953.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.