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Finding the Third Proportional to 115,336 and 147,366

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Solution

The third proportional to 115,336 and 147,366 is: 188,291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,336 : 147,366 = 147,366 : x
  2. Step 2: Convert to fraction form
    115,336/147,366 = 147,366/x
  3. Step 3: Cross multiply
    115,336x = 147,366 × 147,366
  4. Step 4: Simplify right side
    115,336x = 21,716,737,956
  5. Step 5: Solve for x
    x = 21,716,737,956/115,336
  6. Step 6: Final answer
    x = 188,291.06

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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.