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Finding the Third Proportional to 110,264.06 and 164,955.38

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Solution

The third proportional to 110,264.06 and 164,955.38 is: 246,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,264.06 : 164,955.38 = 164,955.38 : x
  2. Step 2: Convert to fraction form
    110,264.06/164,955.38 = 164,955.38/x
  3. Step 3: Cross multiply
    110,264.06x = 164,955.38 × 164,955.38
  4. Step 4: Simplify right side
    110,264.06x = 27,210,275,741.39
  5. Step 5: Solve for x
    x = 27,210,275,741.39/110,264.06
  6. Step 6: Final answer
    x = 246,773.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.