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Finding the Third Proportional to 47,669 and 94,139

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Solution

The third proportional to 47,669 and 94,139 is: 185,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,669 : 94,139 = 94,139 : x
  2. Step 2: Convert to fraction form
    47,669/94,139 = 94,139/x
  3. Step 3: Cross multiply
    47,669x = 94,139 × 94,139
  4. Step 4: Simplify right side
    47,669x = 8,862,151,321
  5. Step 5: Solve for x
    x = 8,862,151,321/47,669
  6. Step 6: Final answer
    x = 185,910.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.