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Finding the Third Proportional to 54,468 and 77,076

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Solution

The third proportional to 54,468 and 77,076 is: 109,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,468 : 77,076 = 77,076 : x
  2. Step 2: Convert to fraction form
    54,468/77,076 = 77,076/x
  3. Step 3: Cross multiply
    54,468x = 77,076 × 77,076
  4. Step 4: Simplify right side
    54,468x = 5,940,709,776
  5. Step 5: Solve for x
    x = 5,940,709,776/54,468
  6. Step 6: Final answer
    x = 109,067.89

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.