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Finding the Third Proportional to 34,692 and 77,148

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Solution

The third proportional to 34,692 and 77,148 is: 171,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692 : 77,148 = 77,148 : x
  2. Step 2: Convert to fraction form
    34,692/77,148 = 77,148/x
  3. Step 3: Cross multiply
    34,692x = 77,148 × 77,148
  4. Step 4: Simplify right side
    34,692x = 5,951,813,904
  5. Step 5: Solve for x
    x = 5,951,813,904/34,692
  6. Step 6: Final answer
    x = 171,561.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.