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Finding the Third Proportional to 124,560 and 188,136

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Solution

The third proportional to 124,560 and 188,136 is: 284,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,560 : 188,136 = 188,136 : x
  2. Step 2: Convert to fraction form
    124,560/188,136 = 188,136/x
  3. Step 3: Cross multiply
    124,560x = 188,136 × 188,136
  4. Step 4: Simplify right side
    124,560x = 35,395,154,496
  5. Step 5: Solve for x
    x = 35,395,154,496/124,560
  6. Step 6: Final answer
    x = 284,161.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.