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Finding the Third Proportional to 64,580 and 96,934

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Solution

The third proportional to 64,580 and 96,934 is: 145,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,580 : 96,934 = 96,934 : x
  2. Step 2: Convert to fraction form
    64,580/96,934 = 96,934/x
  3. Step 3: Cross multiply
    64,580x = 96,934 × 96,934
  4. Step 4: Simplify right side
    64,580x = 9,396,200,356
  5. Step 5: Solve for x
    x = 9,396,200,356/64,580
  6. Step 6: Final answer
    x = 145,497.06

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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.