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Finding the Third Proportional to 67,709.67 and 105,262.66

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Solution

The third proportional to 67,709.67 and 105,262.66 is: 163,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,709.67 : 105,262.66 = 105,262.66 : x
  2. Step 2: Convert to fraction form
    67,709.67/105,262.66 = 105,262.66/x
  3. Step 3: Cross multiply
    67,709.67x = 105,262.66 × 105,262.66
  4. Step 4: Simplify right side
    67,709.67x = 11,080,228,445.53
  5. Step 5: Solve for x
    x = 11,080,228,445.53/67,709.67
  6. Step 6: Final answer
    x = 163,643.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.