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Finding the Third Proportional to 47,250 and 96,660

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Solution

The third proportional to 47,250 and 96,660 is: 197,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,250 : 96,660 = 96,660 : x
  2. Step 2: Convert to fraction form
    47,250/96,660 = 96,660/x
  3. Step 3: Cross multiply
    47,250x = 96,660 × 96,660
  4. Step 4: Simplify right side
    47,250x = 9,343,155,600
  5. Step 5: Solve for x
    x = 9,343,155,600/47,250
  6. Step 6: Final answer
    x = 197,738.74

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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.