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Finding the Third Proportional to 72,615 and 160,458

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Solution

The third proportional to 72,615 and 160,458 is: 354,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,615 : 160,458 = 160,458 : x
  2. Step 2: Convert to fraction form
    72,615/160,458 = 160,458/x
  3. Step 3: Cross multiply
    72,615x = 160,458 × 160,458
  4. Step 4: Simplify right side
    72,615x = 25,746,769,764
  5. Step 5: Solve for x
    x = 25,746,769,764/72,615
  6. Step 6: Final answer
    x = 354,565.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.