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Finding the Third Proportional to 76,176 and 119,124

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Solution

The third proportional to 76,176 and 119,124 is: 186,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,176 : 119,124 = 119,124 : x
  2. Step 2: Convert to fraction form
    76,176/119,124 = 119,124/x
  3. Step 3: Cross multiply
    76,176x = 119,124 × 119,124
  4. Step 4: Simplify right side
    76,176x = 14,190,527,376
  5. Step 5: Solve for x
    x = 14,190,527,376/76,176
  6. Step 6: Final answer
    x = 186,286.07

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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.