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Finding the Third Proportional to 47,100 and 96,360

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Solution

The third proportional to 47,100 and 96,360 is: 197,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,100 : 96,360 = 96,360 : x
  2. Step 2: Convert to fraction form
    47,100/96,360 = 96,360/x
  3. Step 3: Cross multiply
    47,100x = 96,360 × 96,360
  4. Step 4: Simplify right side
    47,100x = 9,285,249,600
  5. Step 5: Solve for x
    x = 9,285,249,600/47,100
  6. Step 6: Final answer
    x = 197,139.06

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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.