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Finding the Third Proportional to 123,957 and 268,521

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Solution

The third proportional to 123,957 and 268,521 is: 581,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,957 : 268,521 = 268,521 : x
  2. Step 2: Convert to fraction form
    123,957/268,521 = 268,521/x
  3. Step 3: Cross multiply
    123,957x = 268,521 × 268,521
  4. Step 4: Simplify right side
    123,957x = 72,103,527,441
  5. Step 5: Solve for x
    x = 72,103,527,441/123,957
  6. Step 6: Final answer
    x = 581,681.77

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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.