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Finding the Third Proportional to 114,644 and 152,899

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Solution

The third proportional to 114,644 and 152,899 is: 203,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,644 : 152,899 = 152,899 : x
  2. Step 2: Convert to fraction form
    114,644/152,899 = 152,899/x
  3. Step 3: Cross multiply
    114,644x = 152,899 × 152,899
  4. Step 4: Simplify right side
    114,644x = 23,378,104,201
  5. Step 5: Solve for x
    x = 23,378,104,201/114,644
  6. Step 6: Final answer
    x = 203,919.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.