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Finding the Third Proportional to 126,136 and 195,324

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Solution

The third proportional to 126,136 and 195,324 is: 302,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,136 : 195,324 = 195,324 : x
  2. Step 2: Convert to fraction form
    126,136/195,324 = 195,324/x
  3. Step 3: Cross multiply
    126,136x = 195,324 × 195,324
  4. Step 4: Simplify right side
    126,136x = 38,151,464,976
  5. Step 5: Solve for x
    x = 38,151,464,976/126,136
  6. Step 6: Final answer
    x = 302,462.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.