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Finding the Third Proportional to 77,999 and 114,073

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Solution

The third proportional to 77,999 and 114,073 is: 166,830.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,999 : 114,073 = 114,073 : x
  2. Step 2: Convert to fraction form
    77,999/114,073 = 114,073/x
  3. Step 3: Cross multiply
    77,999x = 114,073 × 114,073
  4. Step 4: Simplify right side
    77,999x = 13,012,649,329
  5. Step 5: Solve for x
    x = 13,012,649,329/77,999
  6. Step 6: Final answer
    x = 166,830.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.