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Finding the Third Proportional to 73,016 and 104,340

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Solution

The third proportional to 73,016 and 104,340 is: 149,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,016 : 104,340 = 104,340 : x
  2. Step 2: Convert to fraction form
    73,016/104,340 = 104,340/x
  3. Step 3: Cross multiply
    73,016x = 104,340 × 104,340
  4. Step 4: Simplify right side
    73,016x = 10,886,835,600
  5. Step 5: Solve for x
    x = 10,886,835,600/73,016
  6. Step 6: Final answer
    x = 149,102.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.