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Finding the Third Proportional to 124,185 and 269,106

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Solution

The third proportional to 124,185 and 269,106 is: 583,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,185 : 269,106 = 269,106 : x
  2. Step 2: Convert to fraction form
    124,185/269,106 = 269,106/x
  3. Step 3: Cross multiply
    124,185x = 269,106 × 269,106
  4. Step 4: Simplify right side
    124,185x = 72,418,039,236
  5. Step 5: Solve for x
    x = 72,418,039,236/124,185
  6. Step 6: Final answer
    x = 583,146.43

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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.