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Finding the Third Proportional to 76,810 and 119,211

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Solution

The third proportional to 76,810 and 119,211 is: 185,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,810 : 119,211 = 119,211 : x
  2. Step 2: Convert to fraction form
    76,810/119,211 = 119,211/x
  3. Step 3: Cross multiply
    76,810x = 119,211 × 119,211
  4. Step 4: Simplify right side
    76,810x = 14,211,262,521
  5. Step 5: Solve for x
    x = 14,211,262,521/76,810
  6. Step 6: Final answer
    x = 185,018.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.