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Finding the Third Proportional to 64,694.53 and 140,779.69

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Solution

The third proportional to 64,694.53 and 140,779.69 is: 306,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,694.53 : 140,779.69 = 140,779.69 : x
  2. Step 2: Convert to fraction form
    64,694.53/140,779.69 = 140,779.69/x
  3. Step 3: Cross multiply
    64,694.53x = 140,779.69 × 140,779.69
  4. Step 4: Simplify right side
    64,694.53x = 19,818,920,412.60
  5. Step 5: Solve for x
    x = 19,818,920,412.60/64,694.53
  6. Step 6: Final answer
    x = 306,346.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.