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Finding the Third Proportional to 54,076 and 75,894

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Solution

The third proportional to 54,076 and 75,894 is: 106,514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,076 : 75,894 = 75,894 : x
  2. Step 2: Convert to fraction form
    54,076/75,894 = 75,894/x
  3. Step 3: Cross multiply
    54,076x = 75,894 × 75,894
  4. Step 4: Simplify right side
    54,076x = 5,759,899,236
  5. Step 5: Solve for x
    x = 5,759,899,236/54,076
  6. Step 6: Final answer
    x = 106,514.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.