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Finding the Third Proportional to 61,286 and 96,302

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Solution

The third proportional to 61,286 and 96,302 is: 151,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,286 : 96,302 = 96,302 : x
  2. Step 2: Convert to fraction form
    61,286/96,302 = 96,302/x
  3. Step 3: Cross multiply
    61,286x = 96,302 × 96,302
  4. Step 4: Simplify right side
    61,286x = 9,274,075,204
  5. Step 5: Solve for x
    x = 9,274,075,204/61,286
  6. Step 6: Final answer
    x = 151,324.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.