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Finding the Third Proportional to 47,020 and 97,928

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Solution

The third proportional to 47,020 and 97,928 is: 203,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,020 : 97,928 = 97,928 : x
  2. Step 2: Convert to fraction form
    47,020/97,928 = 97,928/x
  3. Step 3: Cross multiply
    47,020x = 97,928 × 97,928
  4. Step 4: Simplify right side
    47,020x = 9,589,893,184
  5. Step 5: Solve for x
    x = 9,589,893,184/47,020
  6. Step 6: Final answer
    x = 203,953.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.