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Finding the Third Proportional to 62,286 and 97,893

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Solution

The third proportional to 62,286 and 97,893 is: 153,855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,286 : 97,893 = 97,893 : x
  2. Step 2: Convert to fraction form
    62,286/97,893 = 97,893/x
  3. Step 3: Cross multiply
    62,286x = 97,893 × 97,893
  4. Step 4: Simplify right side
    62,286x = 9,583,039,449
  5. Step 5: Solve for x
    x = 9,583,039,449/62,286
  6. Step 6: Final answer
    x = 153,855.43

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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.