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Finding the Third Proportional to 124,014 and 268,632

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Solution

The third proportional to 124,014 and 268,632 is: 581,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,014 : 268,632 = 268,632 : x
  2. Step 2: Convert to fraction form
    124,014/268,632 = 268,632/x
  3. Step 3: Cross multiply
    124,014x = 268,632 × 268,632
  4. Step 4: Simplify right side
    124,014x = 72,163,151,424
  5. Step 5: Solve for x
    x = 72,163,151,424/124,014
  6. Step 6: Final answer
    x = 581,895.20

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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.