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Finding the Third Proportional to 47,886 and 97,140

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Solution

The third proportional to 47,886 and 97,140 is: 197,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,886 : 97,140 = 97,140 : x
  2. Step 2: Convert to fraction form
    47,886/97,140 = 97,140/x
  3. Step 3: Cross multiply
    47,886x = 97,140 × 97,140
  4. Step 4: Simplify right side
    47,886x = 9,436,179,600
  5. Step 5: Solve for x
    x = 9,436,179,600/47,886
  6. Step 6: Final answer
    x = 197,055.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.