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Finding the Third Proportional to 76,176 and 113,814

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Solution

The third proportional to 76,176 and 113,814 is: 170,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,176 : 113,814 = 113,814 : x
  2. Step 2: Convert to fraction form
    76,176/113,814 = 113,814/x
  3. Step 3: Cross multiply
    76,176x = 113,814 × 113,814
  4. Step 4: Simplify right side
    76,176x = 12,953,626,596
  5. Step 5: Solve for x
    x = 12,953,626,596/76,176
  6. Step 6: Final answer
    x = 170,048.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.