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Finding the Third Proportional to 72,319 and 157,077

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Solution

The third proportional to 72,319 and 157,077 is: 341,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,319 : 157,077 = 157,077 : x
  2. Step 2: Convert to fraction form
    72,319/157,077 = 157,077/x
  3. Step 3: Cross multiply
    72,319x = 157,077 × 157,077
  4. Step 4: Simplify right side
    72,319x = 24,673,183,929
  5. Step 5: Solve for x
    x = 24,673,183,929/72,319
  6. Step 6: Final answer
    x = 341,171.53

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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.