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Finding the Third Proportional to 103,397 and 159,588

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Solution

The third proportional to 103,397 and 159,588 is: 246,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,397 : 159,588 = 159,588 : x
  2. Step 2: Convert to fraction form
    103,397/159,588 = 159,588/x
  3. Step 3: Cross multiply
    103,397x = 159,588 × 159,588
  4. Step 4: Simplify right side
    103,397x = 25,468,329,744
  5. Step 5: Solve for x
    x = 25,468,329,744/103,397
  6. Step 6: Final answer
    x = 246,315.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.