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Finding the Third Proportional to 72,405 and 101,151

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Solution

The third proportional to 72,405 and 101,151 is: 141,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,405 : 101,151 = 101,151 : x
  2. Step 2: Convert to fraction form
    72,405/101,151 = 101,151/x
  3. Step 3: Cross multiply
    72,405x = 101,151 × 101,151
  4. Step 4: Simplify right side
    72,405x = 10,231,524,801
  5. Step 5: Solve for x
    x = 10,231,524,801/72,405
  6. Step 6: Final answer
    x = 141,309.64

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.