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Finding the Third Proportional to 47,282 and 97,000

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Solution

The third proportional to 47,282 and 97,000 is: 198,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,282 : 97,000 = 97,000 : x
  2. Step 2: Convert to fraction form
    47,282/97,000 = 97,000/x
  3. Step 3: Cross multiply
    47,282x = 97,000 × 97,000
  4. Step 4: Simplify right side
    47,282x = 9,409,000,000
  5. Step 5: Solve for x
    x = 9,409,000,000/47,282
  6. Step 6: Final answer
    x = 198,997.50

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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.