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Finding the Third Proportional to 118,345.50 and 166,461.75

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Solution

The third proportional to 118,345.50 and 166,461.75 is: 234,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,345.50 : 166,461.75 = 166,461.75 : x
  2. Step 2: Convert to fraction form
    118,345.50/166,461.75 = 166,461.75/x
  3. Step 3: Cross multiply
    118,345.50x = 166,461.75 × 166,461.75
  4. Step 4: Simplify right side
    118,345.50x = 27,709,514,213.06
  5. Step 5: Solve for x
    x = 27,709,514,213.06/118,345.50
  6. Step 6: Final answer
    x = 234,140.84

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.