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Finding the Third Proportional to 77,954 and 114,014

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Solution

The third proportional to 77,954 and 114,014 is: 166,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,954 : 114,014 = 114,014 : x
  2. Step 2: Convert to fraction form
    77,954/114,014 = 114,014/x
  3. Step 3: Cross multiply
    77,954x = 114,014 × 114,014
  4. Step 4: Simplify right side
    77,954x = 12,999,192,196
  5. Step 5: Solve for x
    x = 12,999,192,196/77,954
  6. Step 6: Final answer
    x = 166,754.65

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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.