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Finding the Third Proportional to 119,662 and 259,136

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Solution

The third proportional to 119,662 and 259,136 is: 561,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,662 : 259,136 = 259,136 : x
  2. Step 2: Convert to fraction form
    119,662/259,136 = 259,136/x
  3. Step 3: Cross multiply
    119,662x = 259,136 × 259,136
  4. Step 4: Simplify right side
    119,662x = 67,151,466,496
  5. Step 5: Solve for x
    x = 67,151,466,496/119,662
  6. Step 6: Final answer
    x = 561,176.20

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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.