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Finding the Third Proportional to 123,260 and 176,136

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Solution

The third proportional to 123,260 and 176,136 is: 251,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,260 : 176,136 = 176,136 : x
  2. Step 2: Convert to fraction form
    123,260/176,136 = 176,136/x
  3. Step 3: Cross multiply
    123,260x = 176,136 × 176,136
  4. Step 4: Simplify right side
    123,260x = 31,023,890,496
  5. Step 5: Solve for x
    x = 31,023,890,496/123,260
  6. Step 6: Final answer
    x = 251,694.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.