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Finding the Third Proportional to 97,218 and 150,136

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Solution

The third proportional to 97,218 and 150,136 is: 231,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,218 : 150,136 = 150,136 : x
  2. Step 2: Convert to fraction form
    97,218/150,136 = 150,136/x
  3. Step 3: Cross multiply
    97,218x = 150,136 × 150,136
  4. Step 4: Simplify right side
    97,218x = 22,540,818,496
  5. Step 5: Solve for x
    x = 22,540,818,496/97,218
  6. Step 6: Final answer
    x = 231,858.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.