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Finding the Third Proportional to 47,613 and 97,410

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Solution

The third proportional to 47,613 and 97,410 is: 199,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,613 : 97,410 = 97,410 : x
  2. Step 2: Convert to fraction form
    47,613/97,410 = 97,410/x
  3. Step 3: Cross multiply
    47,613x = 97,410 × 97,410
  4. Step 4: Simplify right side
    47,613x = 9,488,708,100
  5. Step 5: Solve for x
    x = 9,488,708,100/47,613
  6. Step 6: Final answer
    x = 199,288.18

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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.