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Finding the Third Proportional to 64,132 and 87,366

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Solution

The third proportional to 64,132 and 87,366 is: 119,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,132 : 87,366 = 87,366 : x
  2. Step 2: Convert to fraction form
    64,132/87,366 = 87,366/x
  3. Step 3: Cross multiply
    64,132x = 87,366 × 87,366
  4. Step 4: Simplify right side
    64,132x = 7,632,817,956
  5. Step 5: Solve for x
    x = 7,632,817,956/64,132
  6. Step 6: Final answer
    x = 119,017.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.