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Finding the Third Proportional to 75,016.13 and 116,123.63

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Solution

The third proportional to 75,016.13 and 116,123.63 is: 179,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,016.13 : 116,123.63 = 116,123.63 : x
  2. Step 2: Convert to fraction form
    75,016.13/116,123.63 = 116,123.63/x
  3. Step 3: Cross multiply
    75,016.13x = 116,123.63 × 116,123.63
  4. Step 4: Simplify right side
    75,016.13x = 13,484,696,283.14
  5. Step 5: Solve for x
    x = 13,484,696,283.14/75,016.13
  6. Step 6: Final answer
    x = 179,757.30

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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.