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Finding the Third Proportional to 34,102 and 72,941

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Solution

The third proportional to 34,102 and 72,941 is: 156,014.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102 : 72,941 = 72,941 : x
  2. Step 2: Convert to fraction form
    34,102/72,941 = 72,941/x
  3. Step 3: Cross multiply
    34,102x = 72,941 × 72,941
  4. Step 4: Simplify right side
    34,102x = 5,320,389,481
  5. Step 5: Solve for x
    x = 5,320,389,481/34,102
  6. Step 6: Final answer
    x = 156,014.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.