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Finding the Third Proportional to 95,136 and 148,151.25

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Solution

The third proportional to 95,136 and 148,151.25 is: 230,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,136 : 148,151.25 = 148,151.25 : x
  2. Step 2: Convert to fraction form
    95,136/148,151.25 = 148,151.25/x
  3. Step 3: Cross multiply
    95,136x = 148,151.25 × 148,151.25
  4. Step 4: Simplify right side
    95,136x = 21,948,792,876.56
  5. Step 5: Solve for x
    x = 21,948,792,876.56/95,136
  6. Step 6: Final answer
    x = 230,709.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.