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Finding the Third Proportional to 72,001 and 157,104

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Solution

The third proportional to 72,001 and 157,104 is: 342,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,001 : 157,104 = 157,104 : x
  2. Step 2: Convert to fraction form
    72,001/157,104 = 157,104/x
  3. Step 3: Cross multiply
    72,001x = 157,104 × 157,104
  4. Step 4: Simplify right side
    72,001x = 24,681,666,816
  5. Step 5: Solve for x
    x = 24,681,666,816/72,001
  6. Step 6: Final answer
    x = 342,796.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.