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Finding the Third Proportional to 67,969.13 and 107,112.38

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Solution

The third proportional to 67,969.13 and 107,112.38 is: 168,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,969.13 : 107,112.38 = 107,112.38 : x
  2. Step 2: Convert to fraction form
    67,969.13/107,112.38 = 107,112.38/x
  3. Step 3: Cross multiply
    67,969.13x = 107,112.38 × 107,112.38
  4. Step 4: Simplify right side
    67,969.13x = 11,473,060,878.14
  5. Step 5: Solve for x
    x = 11,473,060,878.14/67,969.13
  6. Step 6: Final answer
    x = 168,798.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.