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Finding the Third Proportional to 54,656 and 74,184

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Solution

The third proportional to 54,656 and 74,184 is: 100,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,656 : 74,184 = 74,184 : x
  2. Step 2: Convert to fraction form
    54,656/74,184 = 74,184/x
  3. Step 3: Cross multiply
    54,656x = 74,184 × 74,184
  4. Step 4: Simplify right side
    54,656x = 5,503,265,856
  5. Step 5: Solve for x
    x = 5,503,265,856/54,656
  6. Step 6: Final answer
    x = 100,689.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.