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Finding the Third Proportional to 64,835.44 and 98,585.86

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Solution

The third proportional to 64,835.44 and 98,585.86 is: 149,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,835.44 : 98,585.86 = 98,585.86 : x
  2. Step 2: Convert to fraction form
    64,835.44/98,585.86 = 98,585.86/x
  3. Step 3: Cross multiply
    64,835.44x = 98,585.86 × 98,585.86
  4. Step 4: Simplify right side
    64,835.44x = 9,719,171,668.71
  5. Step 5: Solve for x
    x = 9,719,171,668.71/64,835.44
  6. Step 6: Final answer
    x = 149,905.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.