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Finding the Third Proportional to 68,806.13 and 105,791.06

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Solution

The third proportional to 68,806.13 and 105,791.06 is: 162,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,806.13 : 105,791.06 = 105,791.06 : x
  2. Step 2: Convert to fraction form
    68,806.13/105,791.06 = 105,791.06/x
  3. Step 3: Cross multiply
    68,806.13x = 105,791.06 × 105,791.06
  4. Step 4: Simplify right side
    68,806.13x = 11,191,748,904.88
  5. Step 5: Solve for x
    x = 11,191,748,904.88/68,806.13
  6. Step 6: Final answer
    x = 162,656.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.