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Finding the Third Proportional to 32,124 and 68,136

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Solution

The third proportional to 32,124 and 68,136 is: 144,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,124 : 68,136 = 68,136 : x
  2. Step 2: Convert to fraction form
    32,124/68,136 = 68,136/x
  3. Step 3: Cross multiply
    32,124x = 68,136 × 68,136
  4. Step 4: Simplify right side
    32,124x = 4,642,514,496
  5. Step 5: Solve for x
    x = 4,642,514,496/32,124
  6. Step 6: Final answer
    x = 144,518.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.