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Finding the Third Proportional to 114,972 and 171,750

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Solution

The third proportional to 114,972 and 171,750 is: 256,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,972 : 171,750 = 171,750 : x
  2. Step 2: Convert to fraction form
    114,972/171,750 = 171,750/x
  3. Step 3: Cross multiply
    114,972x = 171,750 × 171,750
  4. Step 4: Simplify right side
    114,972x = 29,498,062,500
  5. Step 5: Solve for x
    x = 29,498,062,500/114,972
  6. Step 6: Final answer
    x = 256,567.36

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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.