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Finding the Third Proportional to 64,746 and 140,514.75

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Solution

The third proportional to 64,746 and 140,514.75 is: 304,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,746 : 140,514.75 = 140,514.75 : x
  2. Step 2: Convert to fraction form
    64,746/140,514.75 = 140,514.75/x
  3. Step 3: Cross multiply
    64,746x = 140,514.75 × 140,514.75
  4. Step 4: Simplify right side
    64,746x = 19,744,394,967.56
  5. Step 5: Solve for x
    x = 19,744,394,967.56/64,746
  6. Step 6: Final answer
    x = 304,951.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.