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Finding the Third Proportional to 114,051.38 and 166,743.56

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Solution

The third proportional to 114,051.38 and 166,743.56 is: 243,779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,051.38 : 166,743.56 = 166,743.56 : x
  2. Step 2: Convert to fraction form
    114,051.38/166,743.56 = 166,743.56/x
  3. Step 3: Cross multiply
    114,051.38x = 166,743.56 × 166,743.56
  4. Step 4: Simplify right side
    114,051.38x = 27,803,415,635.19
  5. Step 5: Solve for x
    x = 27,803,415,635.19/114,051.38
  6. Step 6: Final answer
    x = 243,779.75

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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.