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Finding the Third Proportional to 121,059 and 247,036.50

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Solution

The third proportional to 121,059 and 247,036.50 is: 504,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,059 : 247,036.50 = 247,036.50 : x
  2. Step 2: Convert to fraction form
    121,059/247,036.50 = 247,036.50/x
  3. Step 3: Cross multiply
    121,059x = 247,036.50 × 247,036.50
  4. Step 4: Simplify right side
    121,059x = 61,027,032,332.25
  5. Step 5: Solve for x
    x = 61,027,032,332.25/121,059
  6. Step 6: Final answer
    x = 504,109.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.