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Finding the Third Proportional to 72,195 and 158,340

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Solution

The third proportional to 72,195 and 158,340 is: 347,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,195 : 158,340 = 158,340 : x
  2. Step 2: Convert to fraction form
    72,195/158,340 = 158,340/x
  3. Step 3: Cross multiply
    72,195x = 158,340 × 158,340
  4. Step 4: Simplify right side
    72,195x = 25,071,555,600
  5. Step 5: Solve for x
    x = 25,071,555,600/72,195
  6. Step 6: Final answer
    x = 347,275.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.