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Finding the Third Proportional to 103,866 and 169,586

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Solution

The third proportional to 103,866 and 169,586 is: 276,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,866 : 169,586 = 169,586 : x
  2. Step 2: Convert to fraction form
    103,866/169,586 = 169,586/x
  3. Step 3: Cross multiply
    103,866x = 169,586 × 169,586
  4. Step 4: Simplify right side
    103,866x = 28,759,411,396
  5. Step 5: Solve for x
    x = 28,759,411,396/103,866
  6. Step 6: Final answer
    x = 276,889.56

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.