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Finding the Third Proportional to 110,691.56 and 161,681.06

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Solution

The third proportional to 110,691.56 and 161,681.06 is: 236,158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,691.56 : 161,681.06 = 161,681.06 : x
  2. Step 2: Convert to fraction form
    110,691.56/161,681.06 = 161,681.06/x
  3. Step 3: Cross multiply
    110,691.56x = 161,681.06 × 161,681.06
  4. Step 4: Simplify right side
    110,691.56x = 26,140,765,971.13
  5. Step 5: Solve for x
    x = 26,140,765,971.13/110,691.56
  6. Step 6: Final answer
    x = 236,158.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.