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Finding the Third Proportional to 72,506 and 159,296

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Solution

The third proportional to 72,506 and 159,296 is: 349,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,506 : 159,296 = 159,296 : x
  2. Step 2: Convert to fraction form
    72,506/159,296 = 159,296/x
  3. Step 3: Cross multiply
    72,506x = 159,296 × 159,296
  4. Step 4: Simplify right side
    72,506x = 25,375,215,616
  5. Step 5: Solve for x
    x = 25,375,215,616/72,506
  6. Step 6: Final answer
    x = 349,974.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.