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Finding the Third Proportional to 62,697 and 97,189

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Solution

The third proportional to 62,697 and 97,189 is: 150,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,697 : 97,189 = 97,189 : x
  2. Step 2: Convert to fraction form
    62,697/97,189 = 97,189/x
  3. Step 3: Cross multiply
    62,697x = 97,189 × 97,189
  4. Step 4: Simplify right side
    62,697x = 9,445,701,721
  5. Step 5: Solve for x
    x = 9,445,701,721/62,697
  6. Step 6: Final answer
    x = 150,656.36

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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.