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Finding the Third Proportional to 72,013 and 157,027

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Solution

The third proportional to 72,013 and 157,027 is: 342,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,013 : 157,027 = 157,027 : x
  2. Step 2: Convert to fraction form
    72,013/157,027 = 157,027/x
  3. Step 3: Cross multiply
    72,013x = 157,027 × 157,027
  4. Step 4: Simplify right side
    72,013x = 24,657,478,729
  5. Step 5: Solve for x
    x = 24,657,478,729/72,013
  6. Step 6: Final answer
    x = 342,403.16

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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.