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Finding the Third Proportional to 88,136 and 125,642

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Solution

The third proportional to 88,136 and 125,642 is: 179,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,136 : 125,642 = 125,642 : x
  2. Step 2: Convert to fraction form
    88,136/125,642 = 125,642/x
  3. Step 3: Cross multiply
    88,136x = 125,642 × 125,642
  4. Step 4: Simplify right side
    88,136x = 15,785,912,164
  5. Step 5: Solve for x
    x = 15,785,912,164/88,136
  6. Step 6: Final answer
    x = 179,108.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.