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Finding the Third Proportional to 62,284 and 96,486

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Solution

The third proportional to 62,284 and 96,486 is: 149,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,284 : 96,486 = 96,486 : x
  2. Step 2: Convert to fraction form
    62,284/96,486 = 96,486/x
  3. Step 3: Cross multiply
    62,284x = 96,486 × 96,486
  4. Step 4: Simplify right side
    62,284x = 9,309,548,196
  5. Step 5: Solve for x
    x = 9,309,548,196/62,284
  6. Step 6: Final answer
    x = 149,469.34

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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.