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Finding the Third Proportional to 92,296 and 144,595

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Solution

The third proportional to 92,296 and 144,595 is: 226,528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,296 : 144,595 = 144,595 : x
  2. Step 2: Convert to fraction form
    92,296/144,595 = 144,595/x
  3. Step 3: Cross multiply
    92,296x = 144,595 × 144,595
  4. Step 4: Simplify right side
    92,296x = 20,907,714,025
  5. Step 5: Solve for x
    x = 20,907,714,025/92,296
  6. Step 6: Final answer
    x = 226,528.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.