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Finding the Third Proportional to 124,232 and 268,134

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Solution

The third proportional to 124,232 and 268,134 is: 578,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,232 : 268,134 = 268,134 : x
  2. Step 2: Convert to fraction form
    124,232/268,134 = 268,134/x
  3. Step 3: Cross multiply
    124,232x = 268,134 × 268,134
  4. Step 4: Simplify right side
    124,232x = 71,895,841,956
  5. Step 5: Solve for x
    x = 71,895,841,956/124,232
  6. Step 6: Final answer
    x = 578,722.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.