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Finding the Third Proportional to 115,136.50 and 177,626.50

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Solution

The third proportional to 115,136.50 and 177,626.50 is: 274,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,136.50 : 177,626.50 = 177,626.50 : x
  2. Step 2: Convert to fraction form
    115,136.50/177,626.50 = 177,626.50/x
  3. Step 3: Cross multiply
    115,136.50x = 177,626.50 × 177,626.50
  4. Step 4: Simplify right side
    115,136.50x = 31,551,173,502.25
  5. Step 5: Solve for x
    x = 31,551,173,502.25/115,136.50
  6. Step 6: Final answer
    x = 274,032.77

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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.