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Finding the Third Proportional to 99,769 and 154,586

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Solution

The third proportional to 99,769 and 154,586 is: 239,521.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,769 : 154,586 = 154,586 : x
  2. Step 2: Convert to fraction form
    99,769/154,586 = 154,586/x
  3. Step 3: Cross multiply
    99,769x = 154,586 × 154,586
  4. Step 4: Simplify right side
    99,769x = 23,896,831,396
  5. Step 5: Solve for x
    x = 23,896,831,396/99,769
  6. Step 6: Final answer
    x = 239,521.61

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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.