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Finding the Third Proportional to 72,246 and 157,002

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Solution

The third proportional to 72,246 and 157,002 is: 341,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,246 : 157,002 = 157,002 : x
  2. Step 2: Convert to fraction form
    72,246/157,002 = 157,002/x
  3. Step 3: Cross multiply
    72,246x = 157,002 × 157,002
  4. Step 4: Simplify right side
    72,246x = 24,649,628,004
  5. Step 5: Solve for x
    x = 24,649,628,004/72,246
  6. Step 6: Final answer
    x = 341,190.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.