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Finding the Third Proportional to 76,628 and 119,600

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Solution

The third proportional to 76,628 and 119,600 is: 186,670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,628 : 119,600 = 119,600 : x
  2. Step 2: Convert to fraction form
    76,628/119,600 = 119,600/x
  3. Step 3: Cross multiply
    76,628x = 119,600 × 119,600
  4. Step 4: Simplify right side
    76,628x = 14,304,160,000
  5. Step 5: Solve for x
    x = 14,304,160,000/76,628
  6. Step 6: Final answer
    x = 186,670.15

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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.