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Finding the Third Proportional to 30,192 and 50,136

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Solution

The third proportional to 30,192 and 50,136 is: 83,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,192 : 50,136 = 50,136 : x
  2. Step 2: Convert to fraction form
    30,192/50,136 = 50,136/x
  3. Step 3: Cross multiply
    30,192x = 50,136 × 50,136
  4. Step 4: Simplify right side
    30,192x = 2,513,618,496
  5. Step 5: Solve for x
    x = 2,513,618,496/30,192
  6. Step 6: Final answer
    x = 83,254.45

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.