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Finding the Third Proportional to 112,983.19 and 174,944.81

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Solution

The third proportional to 112,983.19 and 174,944.81 is: 270,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,983.19 : 174,944.81 = 174,944.81 : x
  2. Step 2: Convert to fraction form
    112,983.19/174,944.81 = 174,944.81/x
  3. Step 3: Cross multiply
    112,983.19x = 174,944.81 × 174,944.81
  4. Step 4: Simplify right side
    112,983.19x = 30,605,687,420.66
  5. Step 5: Solve for x
    x = 30,605,687,420.66/112,983.19
  6. Step 6: Final answer
    x = 270,887.09

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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.