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Finding the Third Proportional to 148,856 and 202,136

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Solution

The third proportional to 148,856 and 202,136 is: 274,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,856 : 202,136 = 202,136 : x
  2. Step 2: Convert to fraction form
    148,856/202,136 = 202,136/x
  3. Step 3: Cross multiply
    148,856x = 202,136 × 202,136
  4. Step 4: Simplify right side
    148,856x = 40,858,962,496
  5. Step 5: Solve for x
    x = 40,858,962,496/148,856
  6. Step 6: Final answer
    x = 274,486.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.