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Finding the Third Proportional to 76,634 and 119,610

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Solution

The third proportional to 76,634 and 119,610 is: 186,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,634 : 119,610 = 119,610 : x
  2. Step 2: Convert to fraction form
    76,634/119,610 = 119,610/x
  3. Step 3: Cross multiply
    76,634x = 119,610 × 119,610
  4. Step 4: Simplify right side
    76,634x = 14,306,552,100
  5. Step 5: Solve for x
    x = 14,306,552,100/76,634
  6. Step 6: Final answer
    x = 186,686.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.