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Finding the Third Proportional to 76,502 and 110,182

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Solution

The third proportional to 76,502 and 110,182 is: 158,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,502 : 110,182 = 110,182 : x
  2. Step 2: Convert to fraction form
    76,502/110,182 = 110,182/x
  3. Step 3: Cross multiply
    76,502x = 110,182 × 110,182
  4. Step 4: Simplify right side
    76,502x = 12,140,073,124
  5. Step 5: Solve for x
    x = 12,140,073,124/76,502
  6. Step 6: Final answer
    x = 158,689.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.