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Finding the Third Proportional to 141,048.75 and 206,167.88

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Solution

The third proportional to 141,048.75 and 206,167.88 is: 301,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,048.75 : 206,167.88 = 206,167.88 : x
  2. Step 2: Convert to fraction form
    141,048.75/206,167.88 = 206,167.88/x
  3. Step 3: Cross multiply
    141,048.75x = 206,167.88 × 206,167.88
  4. Step 4: Simplify right side
    141,048.75x = 42,505,192,682.02
  5. Step 5: Solve for x
    x = 42,505,192,682.02/141,048.75
  6. Step 6: Final answer
    x = 301,351.08

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.