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Finding the Third Proportional to 102,586 and 153,469

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Solution

The third proportional to 102,586 and 153,469 is: 229,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,586 : 153,469 = 153,469 : x
  2. Step 2: Convert to fraction form
    102,586/153,469 = 153,469/x
  3. Step 3: Cross multiply
    102,586x = 153,469 × 153,469
  4. Step 4: Simplify right side
    102,586x = 23,552,733,961
  5. Step 5: Solve for x
    x = 23,552,733,961/102,586
  6. Step 6: Final answer
    x = 229,590.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.