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Finding the Third Proportional to 114,139.50 and 244,107

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Solution

The third proportional to 114,139.50 and 244,107 is: 522,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,139.50 : 244,107 = 244,107 : x
  2. Step 2: Convert to fraction form
    114,139.50/244,107 = 244,107/x
  3. Step 3: Cross multiply
    114,139.50x = 244,107 × 244,107
  4. Step 4: Simplify right side
    114,139.50x = 59,588,227,449
  5. Step 5: Solve for x
    x = 59,588,227,449/114,139.50
  6. Step 6: Final answer
    x = 522,064.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.