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Finding the Third Proportional to 34,008 and 72,942

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Solution

The third proportional to 34,008 and 72,942 is: 156,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,008 : 72,942 = 72,942 : x
  2. Step 2: Convert to fraction form
    34,008/72,942 = 72,942/x
  3. Step 3: Cross multiply
    34,008x = 72,942 × 72,942
  4. Step 4: Simplify right side
    34,008x = 5,320,535,364
  5. Step 5: Solve for x
    x = 5,320,535,364/34,008
  6. Step 6: Final answer
    x = 156,449.52

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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.