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Finding the Third Proportional to 124,133 and 269,866

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Solution

The third proportional to 124,133 and 269,866 is: 586,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,133 : 269,866 = 269,866 : x
  2. Step 2: Convert to fraction form
    124,133/269,866 = 269,866/x
  3. Step 3: Cross multiply
    124,133x = 269,866 × 269,866
  4. Step 4: Simplify right side
    124,133x = 72,827,657,956
  5. Step 5: Solve for x
    x = 72,827,657,956/124,133
  6. Step 6: Final answer
    x = 586,690.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.