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Finding the Third Proportional to 75,014 and 116,121

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Solution

The third proportional to 75,014 and 116,121 is: 179,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,014 : 116,121 = 116,121 : x
  2. Step 2: Convert to fraction form
    75,014/116,121 = 116,121/x
  3. Step 3: Cross multiply
    75,014x = 116,121 × 116,121
  4. Step 4: Simplify right side
    75,014x = 13,484,086,641
  5. Step 5: Solve for x
    x = 13,484,086,641/75,014
  6. Step 6: Final answer
    x = 179,754.27

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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.