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Finding the Third Proportional to 114,051 and 166,612

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Solution

The third proportional to 114,051 and 166,612 is: 243,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,051 : 166,612 = 166,612 : x
  2. Step 2: Convert to fraction form
    114,051/166,612 = 166,612/x
  3. Step 3: Cross multiply
    114,051x = 166,612 × 166,612
  4. Step 4: Simplify right side
    114,051x = 27,759,558,544
  5. Step 5: Solve for x
    x = 27,759,558,544/114,051
  6. Step 6: Final answer
    x = 243,396.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.