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Finding the Third Proportional to 98,694 and 142,845.75

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Solution

The third proportional to 98,694 and 142,845.75 is: 206,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,694 : 142,845.75 = 142,845.75 : x
  2. Step 2: Convert to fraction form
    98,694/142,845.75 = 142,845.75/x
  3. Step 3: Cross multiply
    98,694x = 142,845.75 × 142,845.75
  4. Step 4: Simplify right side
    98,694x = 20,404,908,293.06
  5. Step 5: Solve for x
    x = 20,404,908,293.06/98,694
  6. Step 6: Final answer
    x = 206,749.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.