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Finding the Third Proportional to 67,636.25 and 105,138.38

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Solution

The third proportional to 67,636.25 and 105,138.38 is: 163,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,636.25 : 105,138.38 = 105,138.38 : x
  2. Step 2: Convert to fraction form
    67,636.25/105,138.38 = 105,138.38/x
  3. Step 3: Cross multiply
    67,636.25x = 105,138.38 × 105,138.38
  4. Step 4: Simplify right side
    67,636.25x = 11,054,077,897.64
  5. Step 5: Solve for x
    x = 11,054,077,897.64/67,636.25
  6. Step 6: Final answer
    x = 163,434.22

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