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Finding the Third Proportional to 114,525 and 171,261

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Solution

The third proportional to 114,525 and 171,261 is: 256,104.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,525 : 171,261 = 171,261 : x
  2. Step 2: Convert to fraction form
    114,525/171,261 = 171,261/x
  3. Step 3: Cross multiply
    114,525x = 171,261 × 171,261
  4. Step 4: Simplify right side
    114,525x = 29,330,330,121
  5. Step 5: Solve for x
    x = 29,330,330,121/114,525
  6. Step 6: Final answer
    x = 256,104.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.