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Finding the Third Proportional to 103,616 and 160,481

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Solution

The third proportional to 103,616 and 160,481 is: 248,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,616 : 160,481 = 160,481 : x
  2. Step 2: Convert to fraction form
    103,616/160,481 = 160,481/x
  3. Step 3: Cross multiply
    103,616x = 160,481 × 160,481
  4. Step 4: Simplify right side
    103,616x = 25,754,151,361
  5. Step 5: Solve for x
    x = 25,754,151,361/103,616
  6. Step 6: Final answer
    x = 248,553.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.