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Finding the Third Proportional to 72,965 and 157,324

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Solution

The third proportional to 72,965 and 157,324 is: 339,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,965 : 157,324 = 157,324 : x
  2. Step 2: Convert to fraction form
    72,965/157,324 = 157,324/x
  3. Step 3: Cross multiply
    72,965x = 157,324 × 157,324
  4. Step 4: Simplify right side
    72,965x = 24,750,840,976
  5. Step 5: Solve for x
    x = 24,750,840,976/72,965
  6. Step 6: Final answer
    x = 339,215.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.