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Finding the Third Proportional to 62,633 and 97,001

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Solution

The third proportional to 62,633 and 97,001 is: 150,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,633 : 97,001 = 97,001 : x
  2. Step 2: Convert to fraction form
    62,633/97,001 = 97,001/x
  3. Step 3: Cross multiply
    62,633x = 97,001 × 97,001
  4. Step 4: Simplify right side
    62,633x = 9,409,194,001
  5. Step 5: Solve for x
    x = 9,409,194,001/62,633
  6. Step 6: Final answer
    x = 150,227.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.