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Finding the Third Proportional to 72,888 and 157,866

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Solution

The third proportional to 72,888 and 157,866 is: 341,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,888 : 157,866 = 157,866 : x
  2. Step 2: Convert to fraction form
    72,888/157,866 = 157,866/x
  3. Step 3: Cross multiply
    72,888x = 157,866 × 157,866
  4. Step 4: Simplify right side
    72,888x = 24,921,673,956
  5. Step 5: Solve for x
    x = 24,921,673,956/72,888
  6. Step 6: Final answer
    x = 341,917.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.