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Finding the Third Proportional to 111,713 and 239,415.50

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Solution

The third proportional to 111,713 and 239,415.50 is: 513,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,713 : 239,415.50 = 239,415.50 : x
  2. Step 2: Convert to fraction form
    111,713/239,415.50 = 239,415.50/x
  3. Step 3: Cross multiply
    111,713x = 239,415.50 × 239,415.50
  4. Step 4: Simplify right side
    111,713x = 57,319,781,640.25
  5. Step 5: Solve for x
    x = 57,319,781,640.25/111,713
  6. Step 6: Final answer
    x = 513,098.58

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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.