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Finding the Third Proportional to 62,986 and 98,309

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Solution

The third proportional to 62,986 and 98,309 is: 153,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,986 : 98,309 = 98,309 : x
  2. Step 2: Convert to fraction form
    62,986/98,309 = 98,309/x
  3. Step 3: Cross multiply
    62,986x = 98,309 × 98,309
  4. Step 4: Simplify right side
    62,986x = 9,664,659,481
  5. Step 5: Solve for x
    x = 9,664,659,481/62,986
  6. Step 6: Final answer
    x = 153,441.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.