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Finding the Third Proportional to 96,671 and 136,136

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Solution

The third proportional to 96,671 and 136,136 is: 191,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,671 : 136,136 = 136,136 : x
  2. Step 2: Convert to fraction form
    96,671/136,136 = 136,136/x
  3. Step 3: Cross multiply
    96,671x = 136,136 × 136,136
  4. Step 4: Simplify right side
    96,671x = 18,533,010,496
  5. Step 5: Solve for x
    x = 18,533,010,496/96,671
  6. Step 6: Final answer
    x = 191,712.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.