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Finding the Third Proportional to 115,298 and 147,324

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Solution

The third proportional to 115,298 and 147,324 is: 188,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,298 : 147,324 = 147,324 : x
  2. Step 2: Convert to fraction form
    115,298/147,324 = 147,324/x
  3. Step 3: Cross multiply
    115,298x = 147,324 × 147,324
  4. Step 4: Simplify right side
    115,298x = 21,704,360,976
  5. Step 5: Solve for x
    x = 21,704,360,976/115,298
  6. Step 6: Final answer
    x = 188,245.77

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.