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Finding the Third Proportional to 36,047 and 73,102

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Solution

The third proportional to 36,047 and 73,102 is: 148,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,047 : 73,102 = 73,102 : x
  2. Step 2: Convert to fraction form
    36,047/73,102 = 73,102/x
  3. Step 3: Cross multiply
    36,047x = 73,102 × 73,102
  4. Step 4: Simplify right side
    36,047x = 5,343,902,404
  5. Step 5: Solve for x
    x = 5,343,902,404/36,047
  6. Step 6: Final answer
    x = 148,248.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.