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Finding the Third Proportional to 47,282 and 96,724

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Solution

The third proportional to 47,282 and 96,724 is: 197,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,282 : 96,724 = 96,724 : x
  2. Step 2: Convert to fraction form
    47,282/96,724 = 96,724/x
  3. Step 3: Cross multiply
    47,282x = 96,724 × 96,724
  4. Step 4: Simplify right side
    47,282x = 9,355,532,176
  5. Step 5: Solve for x
    x = 9,355,532,176/47,282
  6. Step 6: Final answer
    x = 197,866.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.