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Finding the Third Proportional to 72,444 and 156,947

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Solution

The third proportional to 72,444 and 156,947 is: 340,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,444 : 156,947 = 156,947 : x
  2. Step 2: Convert to fraction form
    72,444/156,947 = 156,947/x
  3. Step 3: Cross multiply
    72,444x = 156,947 × 156,947
  4. Step 4: Simplify right side
    72,444x = 24,632,360,809
  5. Step 5: Solve for x
    x = 24,632,360,809/72,444
  6. Step 6: Final answer
    x = 340,019.34

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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.