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Finding the Third Proportional to 34,326 and 72,540

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Solution

The third proportional to 34,326 and 72,540 is: 153,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,326 : 72,540 = 72,540 : x
  2. Step 2: Convert to fraction form
    34,326/72,540 = 72,540/x
  3. Step 3: Cross multiply
    34,326x = 72,540 × 72,540
  4. Step 4: Simplify right side
    34,326x = 5,262,051,600
  5. Step 5: Solve for x
    x = 5,262,051,600/34,326
  6. Step 6: Final answer
    x = 153,296.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.