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Finding the Third Proportional to 47,020 and 102,613

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Solution

The third proportional to 47,020 and 102,613 is: 223,935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,020 : 102,613 = 102,613 : x
  2. Step 2: Convert to fraction form
    47,020/102,613 = 102,613/x
  3. Step 3: Cross multiply
    47,020x = 102,613 × 102,613
  4. Step 4: Simplify right side
    47,020x = 10,529,427,769
  5. Step 5: Solve for x
    x = 10,529,427,769/47,020
  6. Step 6: Final answer
    x = 223,935.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.