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Finding the Third Proportional to 58,652 and 125,136

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Solution

The third proportional to 58,652 and 125,136 is: 266,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,652 : 125,136 = 125,136 : x
  2. Step 2: Convert to fraction form
    58,652/125,136 = 125,136/x
  3. Step 3: Cross multiply
    58,652x = 125,136 × 125,136
  4. Step 4: Simplify right side
    58,652x = 15,659,018,496
  5. Step 5: Solve for x
    x = 15,659,018,496/58,652
  6. Step 6: Final answer
    x = 266,981.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.