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Finding the Third Proportional to 114,521 and 171,255

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Solution

The third proportional to 114,521 and 171,255 is: 256,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,521 : 171,255 = 171,255 : x
  2. Step 2: Convert to fraction form
    114,521/171,255 = 171,255/x
  3. Step 3: Cross multiply
    114,521x = 171,255 × 171,255
  4. Step 4: Simplify right side
    114,521x = 29,328,275,025
  5. Step 5: Solve for x
    x = 29,328,275,025/114,521
  6. Step 6: Final answer
    x = 256,095.17

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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.