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Finding the Third Proportional to 76,282 and 119,070

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Solution

The third proportional to 76,282 and 119,070 is: 185,858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,282 : 119,070 = 119,070 : x
  2. Step 2: Convert to fraction form
    76,282/119,070 = 119,070/x
  3. Step 3: Cross multiply
    76,282x = 119,070 × 119,070
  4. Step 4: Simplify right side
    76,282x = 14,177,664,900
  5. Step 5: Solve for x
    x = 14,177,664,900/76,282
  6. Step 6: Final answer
    x = 185,858.59

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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.