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Finding the Third Proportional to 64,674 and 96,613.88

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Solution

The third proportional to 64,674 and 96,613.88 is: 144,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,674 : 96,613.88 = 96,613.88 : x
  2. Step 2: Convert to fraction form
    64,674/96,613.88 = 96,613.88/x
  3. Step 3: Cross multiply
    64,674x = 96,613.88 × 96,613.88
  4. Step 4: Simplify right side
    64,674x = 9,334,240,842.52
  5. Step 5: Solve for x
    x = 9,334,240,842.52/64,674
  6. Step 6: Final answer
    x = 144,327.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.