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Finding the Third Proportional to 47,865 and 98,118

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Solution

The third proportional to 47,865 and 98,118 is: 201,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,865 : 98,118 = 98,118 : x
  2. Step 2: Convert to fraction form
    47,865/98,118 = 98,118/x
  3. Step 3: Cross multiply
    47,865x = 98,118 × 98,118
  4. Step 4: Simplify right side
    47,865x = 9,627,141,924
  5. Step 5: Solve for x
    x = 9,627,141,924/47,865
  6. Step 6: Final answer
    x = 201,131.14

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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.