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Finding the Third Proportional to 101,025.28 and 147,095.44

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Solution

The third proportional to 101,025.28 and 147,095.44 is: 214,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,025.28 : 147,095.44 = 147,095.44 : x
  2. Step 2: Convert to fraction form
    101,025.28/147,095.44 = 147,095.44/x
  3. Step 3: Cross multiply
    101,025.28x = 147,095.44 × 147,095.44
  4. Step 4: Simplify right side
    101,025.28x = 21,637,067,733.32
  5. Step 5: Solve for x
    x = 21,637,067,733.32/101,025.28
  6. Step 6: Final answer
    x = 214,174.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.