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Finding the Third Proportional to 47,210 and 96,598

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Solution

The third proportional to 47,210 and 96,598 is: 197,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,210 : 96,598 = 96,598 : x
  2. Step 2: Convert to fraction form
    47,210/96,598 = 96,598/x
  3. Step 3: Cross multiply
    47,210x = 96,598 × 96,598
  4. Step 4: Simplify right side
    47,210x = 9,331,173,604
  5. Step 5: Solve for x
    x = 9,331,173,604/47,210
  6. Step 6: Final answer
    x = 197,652.48

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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.