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Finding the Third Proportional to 76,366 and 116,170

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Solution

The third proportional to 76,366 and 116,170 is: 176,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,366 : 116,170 = 116,170 : x
  2. Step 2: Convert to fraction form
    76,366/116,170 = 116,170/x
  3. Step 3: Cross multiply
    76,366x = 116,170 × 116,170
  4. Step 4: Simplify right side
    76,366x = 13,495,468,900
  5. Step 5: Solve for x
    x = 13,495,468,900/76,366
  6. Step 6: Final answer
    x = 176,720.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.