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Finding the Third Proportional to 34,092 and 72,240

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Solution

The third proportional to 34,092 and 72,240 is: 153,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,092 : 72,240 = 72,240 : x
  2. Step 2: Convert to fraction form
    34,092/72,240 = 72,240/x
  3. Step 3: Cross multiply
    34,092x = 72,240 × 72,240
  4. Step 4: Simplify right side
    34,092x = 5,218,617,600
  5. Step 5: Solve for x
    x = 5,218,617,600/34,092
  6. Step 6: Final answer
    x = 153,074.55

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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.