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Finding the Third Proportional to 59,233 and 127,950

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Solution

The third proportional to 59,233 and 127,950 is: 276,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,233 : 127,950 = 127,950 : x
  2. Step 2: Convert to fraction form
    59,233/127,950 = 127,950/x
  3. Step 3: Cross multiply
    59,233x = 127,950 × 127,950
  4. Step 4: Simplify right side
    59,233x = 16,371,202,500
  5. Step 5: Solve for x
    x = 16,371,202,500/59,233
  6. Step 6: Final answer
    x = 276,386.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.