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Finding the Third Proportional to 64,014.75 and 92,209.13

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Solution

The third proportional to 64,014.75 and 92,209.13 is: 132,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,014.75 : 92,209.13 = 92,209.13 : x
  2. Step 2: Convert to fraction form
    64,014.75/92,209.13 = 92,209.13/x
  3. Step 3: Cross multiply
    64,014.75x = 92,209.13 × 92,209.13
  4. Step 4: Simplify right side
    64,014.75x = 8,502,522,733.27
  5. Step 5: Solve for x
    x = 8,502,522,733.27/64,014.75
  6. Step 6: Final answer
    x = 132,821.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.