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Finding the Third Proportional to 64,071 and 100,503

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Solution

The third proportional to 64,071 and 100,503 is: 157,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,071 : 100,503 = 100,503 : x
  2. Step 2: Convert to fraction form
    64,071/100,503 = 100,503/x
  3. Step 3: Cross multiply
    64,071x = 100,503 × 100,503
  4. Step 4: Simplify right side
    64,071x = 10,100,853,009
  5. Step 5: Solve for x
    x = 10,100,853,009/64,071
  6. Step 6: Final answer
    x = 157,650.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.