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Finding the Third Proportional to 73,892 and 117,023

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Solution

The third proportional to 73,892 and 117,023 is: 185,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,892 : 117,023 = 117,023 : x
  2. Step 2: Convert to fraction form
    73,892/117,023 = 117,023/x
  3. Step 3: Cross multiply
    73,892x = 117,023 × 117,023
  4. Step 4: Simplify right side
    73,892x = 13,694,382,529
  5. Step 5: Solve for x
    x = 13,694,382,529/73,892
  6. Step 6: Final answer
    x = 185,329.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.