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Finding the Third Proportional to 103,265 and 157,866

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Solution

The third proportional to 103,265 and 157,866 is: 241,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,265 : 157,866 = 157,866 : x
  2. Step 2: Convert to fraction form
    103,265/157,866 = 157,866/x
  3. Step 3: Cross multiply
    103,265x = 157,866 × 157,866
  4. Step 4: Simplify right side
    103,265x = 24,921,673,956
  5. Step 5: Solve for x
    x = 24,921,673,956/103,265
  6. Step 6: Final answer
    x = 241,337.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.