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Finding the Third Proportional to 47,985 and 103,260

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Solution

The third proportional to 47,985 and 103,260 is: 222,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,985 : 103,260 = 103,260 : x
  2. Step 2: Convert to fraction form
    47,985/103,260 = 103,260/x
  3. Step 3: Cross multiply
    47,985x = 103,260 × 103,260
  4. Step 4: Simplify right side
    47,985x = 10,662,627,600
  5. Step 5: Solve for x
    x = 10,662,627,600/47,985
  6. Step 6: Final answer
    x = 222,207.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.