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Finding the Third Proportional to 124,973 and 268,415

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Solution

The third proportional to 124,973 and 268,415 is: 576,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,973 : 268,415 = 268,415 : x
  2. Step 2: Convert to fraction form
    124,973/268,415 = 268,415/x
  3. Step 3: Cross multiply
    124,973x = 268,415 × 268,415
  4. Step 4: Simplify right side
    124,973x = 72,046,612,225
  5. Step 5: Solve for x
    x = 72,046,612,225/124,973
  6. Step 6: Final answer
    x = 576,497.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.