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Finding the Third Proportional to 61,286 and 96,300

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Solution

The third proportional to 61,286 and 96,300 is: 151,318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,286 : 96,300 = 96,300 : x
  2. Step 2: Convert to fraction form
    61,286/96,300 = 96,300/x
  3. Step 3: Cross multiply
    61,286x = 96,300 × 96,300
  4. Step 4: Simplify right side
    61,286x = 9,273,690,000
  5. Step 5: Solve for x
    x = 9,273,690,000/61,286
  6. Step 6: Final answer
    x = 151,318.25

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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.