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Finding the Third Proportional to 34,047 and 72,204

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Solution

The third proportional to 34,047 and 72,204 is: 153,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,047 : 72,204 = 72,204 : x
  2. Step 2: Convert to fraction form
    34,047/72,204 = 72,204/x
  3. Step 3: Cross multiply
    34,047x = 72,204 × 72,204
  4. Step 4: Simplify right side
    34,047x = 5,213,417,616
  5. Step 5: Solve for x
    x = 5,213,417,616/34,047
  6. Step 6: Final answer
    x = 153,124.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.