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Finding the Third Proportional to 34,904 and 72,754

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Solution

The third proportional to 34,904 and 72,754 is: 151,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,904 : 72,754 = 72,754 : x
  2. Step 2: Convert to fraction form
    34,904/72,754 = 72,754/x
  3. Step 3: Cross multiply
    34,904x = 72,754 × 72,754
  4. Step 4: Simplify right side
    34,904x = 5,293,144,516
  5. Step 5: Solve for x
    x = 5,293,144,516/34,904
  6. Step 6: Final answer
    x = 151,648.65

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.