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Finding the Third Proportional to 101,459.50 and 136,105.50

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Solution

The third proportional to 101,459.50 and 136,105.50 is: 182,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,459.50 : 136,105.50 = 136,105.50 : x
  2. Step 2: Convert to fraction form
    101,459.50/136,105.50 = 136,105.50/x
  3. Step 3: Cross multiply
    101,459.50x = 136,105.50 × 136,105.50
  4. Step 4: Simplify right side
    101,459.50x = 18,524,707,130.25
  5. Step 5: Solve for x
    x = 18,524,707,130.25/101,459.50
  6. Step 6: Final answer
    x = 182,582.28

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.