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Finding the Third Proportional to 114,118.50 and 166,952.25

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Solution

The third proportional to 114,118.50 and 166,952.25 is: 244,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,118.50 : 166,952.25 = 166,952.25 : x
  2. Step 2: Convert to fraction form
    114,118.50/166,952.25 = 166,952.25/x
  3. Step 3: Cross multiply
    114,118.50x = 166,952.25 × 166,952.25
  4. Step 4: Simplify right side
    114,118.50x = 27,873,053,780.06
  5. Step 5: Solve for x
    x = 27,873,053,780.06/114,118.50
  6. Step 6: Final answer
    x = 244,246.58

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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.