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Finding the Third Proportional to 139,833.75 and 209,710.13

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Solution

The third proportional to 139,833.75 and 209,710.13 is: 314,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,833.75 : 209,710.13 = 209,710.13 : x
  2. Step 2: Convert to fraction form
    139,833.75/209,710.13 = 209,710.13/x
  3. Step 3: Cross multiply
    139,833.75x = 209,710.13 × 209,710.13
  4. Step 4: Simplify right side
    139,833.75x = 43,978,336,527.52
  5. Step 5: Solve for x
    x = 43,978,336,527.52/139,833.75
  6. Step 6: Final answer
    x = 314,504.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.