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Finding the Third Proportional to 114,544.13 and 166,622.06

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Solution

The third proportional to 114,544.13 and 166,622.06 is: 242,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,544.13 : 166,622.06 = 166,622.06 : x
  2. Step 2: Convert to fraction form
    114,544.13/166,622.06 = 166,622.06/x
  3. Step 3: Cross multiply
    114,544.13x = 166,622.06 × 166,622.06
  4. Step 4: Simplify right side
    114,544.13x = 27,762,911,711.75
  5. Step 5: Solve for x
    x = 27,762,911,711.75/114,544.13
  6. Step 6: Final answer
    x = 242,377.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.