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Finding the Third Proportional to 62,675 and 97,093

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Solution

The third proportional to 62,675 and 97,093 is: 150,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,675 : 97,093 = 97,093 : x
  2. Step 2: Convert to fraction form
    62,675/97,093 = 97,093/x
  3. Step 3: Cross multiply
    62,675x = 97,093 × 97,093
  4. Step 4: Simplify right side
    62,675x = 9,427,050,649
  5. Step 5: Solve for x
    x = 9,427,050,649/62,675
  6. Step 6: Final answer
    x = 150,411.66

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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.