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Finding the Third Proportional to 137,798.25 and 195,036.75

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Solution

The third proportional to 137,798.25 and 195,036.75 is: 276,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,798.25 : 195,036.75 = 195,036.75 : x
  2. Step 2: Convert to fraction form
    137,798.25/195,036.75 = 195,036.75/x
  3. Step 3: Cross multiply
    137,798.25x = 195,036.75 × 195,036.75
  4. Step 4: Simplify right side
    137,798.25x = 38,039,333,850.56
  5. Step 5: Solve for x
    x = 38,039,333,850.56/137,798.25
  6. Step 6: Final answer
    x = 276,050.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.