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Finding the Third Proportional to 91,888 and 135,136

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Solution

The third proportional to 91,888 and 135,136 is: 198,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,888 : 135,136 = 135,136 : x
  2. Step 2: Convert to fraction form
    91,888/135,136 = 135,136/x
  3. Step 3: Cross multiply
    91,888x = 135,136 × 135,136
  4. Step 4: Simplify right side
    91,888x = 18,261,738,496
  5. Step 5: Solve for x
    x = 18,261,738,496/91,888
  6. Step 6: Final answer
    x = 198,739.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.