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Finding the Third Proportional to 73,682 and 100,047

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Solution

The third proportional to 73,682 and 100,047 is: 135,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,682 : 100,047 = 100,047 : x
  2. Step 2: Convert to fraction form
    73,682/100,047 = 100,047/x
  3. Step 3: Cross multiply
    73,682x = 100,047 × 100,047
  4. Step 4: Simplify right side
    73,682x = 10,009,402,209
  5. Step 5: Solve for x
    x = 10,009,402,209/73,682
  6. Step 6: Final answer
    x = 135,845.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.