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Finding the Third Proportional to 75,778 and 117,491

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Solution

The third proportional to 75,778 and 117,491 is: 182,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,778 : 117,491 = 117,491 : x
  2. Step 2: Convert to fraction form
    75,778/117,491 = 117,491/x
  3. Step 3: Cross multiply
    75,778x = 117,491 × 117,491
  4. Step 4: Simplify right side
    75,778x = 13,804,135,081
  5. Step 5: Solve for x
    x = 13,804,135,081/75,778
  6. Step 6: Final answer
    x = 182,165.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.