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Finding the Third Proportional to 64,539 and 96,835.50

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Solution

The third proportional to 64,539 and 96,835.50 is: 145,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,539 : 96,835.50 = 96,835.50 : x
  2. Step 2: Convert to fraction form
    64,539/96,835.50 = 96,835.50/x
  3. Step 3: Cross multiply
    64,539x = 96,835.50 × 96,835.50
  4. Step 4: Simplify right side
    64,539x = 9,377,114,060.25
  5. Step 5: Solve for x
    x = 9,377,114,060.25/64,539
  6. Step 6: Final answer
    x = 145,293.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.