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Finding the Third Proportional to 74,047 and 162,847

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Solution

The third proportional to 74,047 and 162,847 is: 358,139.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,047 : 162,847 = 162,847 : x
  2. Step 2: Convert to fraction form
    74,047/162,847 = 162,847/x
  3. Step 3: Cross multiply
    74,047x = 162,847 × 162,847
  4. Step 4: Simplify right side
    74,047x = 26,519,145,409
  5. Step 5: Solve for x
    x = 26,519,145,409/74,047
  6. Step 6: Final answer
    x = 358,139.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.