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Finding the Third Proportional to 51,876 and 77,058

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Solution

The third proportional to 51,876 and 77,058 is: 114,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,876 : 77,058 = 77,058 : x
  2. Step 2: Convert to fraction form
    51,876/77,058 = 77,058/x
  3. Step 3: Cross multiply
    51,876x = 77,058 × 77,058
  4. Step 4: Simplify right side
    51,876x = 5,937,935,364
  5. Step 5: Solve for x
    x = 5,937,935,364/51,876
  6. Step 6: Final answer
    x = 114,464.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.