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Finding the Third Proportional to 73,628 and 104,102

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Solution

The third proportional to 73,628 and 104,102 is: 147,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,628 : 104,102 = 104,102 : x
  2. Step 2: Convert to fraction form
    73,628/104,102 = 104,102/x
  3. Step 3: Cross multiply
    73,628x = 104,102 × 104,102
  4. Step 4: Simplify right side
    73,628x = 10,837,226,404
  5. Step 5: Solve for x
    x = 10,837,226,404/73,628
  6. Step 6: Final answer
    x = 147,188.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.