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Finding the Third Proportional to 114,868.76 and 171,611.16

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Solution

The third proportional to 114,868.76 and 171,611.16 is: 256,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,868.76 : 171,611.16 = 171,611.16 : x
  2. Step 2: Convert to fraction form
    114,868.76/171,611.16 = 171,611.16/x
  3. Step 3: Cross multiply
    114,868.76x = 171,611.16 × 171,611.16
  4. Step 4: Simplify right side
    114,868.76x = 29,450,388,949.46
  5. Step 5: Solve for x
    x = 29,450,388,949.46/114,868.76
  6. Step 6: Final answer
    x = 256,382.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.