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Finding the Third Proportional to 114,049.13 and 166,740.19

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Solution

The third proportional to 114,049.13 and 166,740.19 is: 243,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,049.13 : 166,740.19 = 166,740.19 : x
  2. Step 2: Convert to fraction form
    114,049.13/166,740.19 = 166,740.19/x
  3. Step 3: Cross multiply
    114,049.13x = 166,740.19 × 166,740.19
  4. Step 4: Simplify right side
    114,049.13x = 27,802,290,127.54
  5. Step 5: Solve for x
    x = 27,802,290,127.54/114,049.13
  6. Step 6: Final answer
    x = 243,774.69

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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.