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Finding the Third Proportional to 73,938 and 104,139

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Solution

The third proportional to 73,938 and 104,139 is: 146,676.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,938 : 104,139 = 104,139 : x
  2. Step 2: Convert to fraction form
    73,938/104,139 = 104,139/x
  3. Step 3: Cross multiply
    73,938x = 104,139 × 104,139
  4. Step 4: Simplify right side
    73,938x = 10,844,931,321
  5. Step 5: Solve for x
    x = 10,844,931,321/73,938
  6. Step 6: Final answer
    x = 146,676.02

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