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Finding the Third Proportional to 72,892 and 157,268

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Solution

The third proportional to 72,892 and 157,268 is: 339,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,892 : 157,268 = 157,268 : x
  2. Step 2: Convert to fraction form
    72,892/157,268 = 157,268/x
  3. Step 3: Cross multiply
    72,892x = 157,268 × 157,268
  4. Step 4: Simplify right side
    72,892x = 24,733,223,824
  5. Step 5: Solve for x
    x = 24,733,223,824/72,892
  6. Step 6: Final answer
    x = 339,313.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.