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Finding the Third Proportional to 72,567 and 157,608

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Solution

The third proportional to 72,567 and 157,608 is: 342,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,567 : 157,608 = 157,608 : x
  2. Step 2: Convert to fraction form
    72,567/157,608 = 157,608/x
  3. Step 3: Cross multiply
    72,567x = 157,608 × 157,608
  4. Step 4: Simplify right side
    72,567x = 24,840,281,664
  5. Step 5: Solve for x
    x = 24,840,281,664/72,567
  6. Step 6: Final answer
    x = 342,308.23

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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.