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Finding the Third Proportional to 114,709 and 171,983

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Solution

The third proportional to 114,709 and 171,983 is: 257,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,709 : 171,983 = 171,983 : x
  2. Step 2: Convert to fraction form
    114,709/171,983 = 171,983/x
  3. Step 3: Cross multiply
    114,709x = 171,983 × 171,983
  4. Step 4: Simplify right side
    114,709x = 29,578,152,289
  5. Step 5: Solve for x
    x = 29,578,152,289/114,709
  6. Step 6: Final answer
    x = 257,853.81

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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.