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Finding the Third Proportional to 65,856 and 125,136

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Solution

The third proportional to 65,856 and 125,136 is: 237,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,856 : 125,136 = 125,136 : x
  2. Step 2: Convert to fraction form
    65,856/125,136 = 125,136/x
  3. Step 3: Cross multiply
    65,856x = 125,136 × 125,136
  4. Step 4: Simplify right side
    65,856x = 15,659,018,496
  5. Step 5: Solve for x
    x = 15,659,018,496/65,856
  6. Step 6: Final answer
    x = 237,776.64

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.