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Finding the Third Proportional to 96,962 and 142,250

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Solution

The third proportional to 96,962 and 142,250 is: 208,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,962 : 142,250 = 142,250 : x
  2. Step 2: Convert to fraction form
    96,962/142,250 = 142,250/x
  3. Step 3: Cross multiply
    96,962x = 142,250 × 142,250
  4. Step 4: Simplify right side
    96,962x = 20,235,062,500
  5. Step 5: Solve for x
    x = 20,235,062,500/96,962
  6. Step 6: Final answer
    x = 208,690.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.