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Finding the Third Proportional to 96,962 and 142,251

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Solution

The third proportional to 96,962 and 142,251 is: 208,693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,962 : 142,251 = 142,251 : x
  2. Step 2: Convert to fraction form
    96,962/142,251 = 142,251/x
  3. Step 3: Cross multiply
    96,962x = 142,251 × 142,251
  4. Step 4: Simplify right side
    96,962x = 20,235,347,001
  5. Step 5: Solve for x
    x = 20,235,347,001/96,962
  6. Step 6: Final answer
    x = 208,693.58

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Why These Related Problems?

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