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Finding the Third Proportional to 109,050.75 and 164,122.13

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Solution

The third proportional to 109,050.75 and 164,122.13 is: 247,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,050.75 : 164,122.13 = 164,122.13 : x
  2. Step 2: Convert to fraction form
    109,050.75/164,122.13 = 164,122.13/x
  3. Step 3: Cross multiply
    109,050.75x = 164,122.13 × 164,122.13
  4. Step 4: Simplify right side
    109,050.75x = 26,936,071,914.52
  5. Step 5: Solve for x
    x = 26,936,071,914.52/109,050.75
  6. Step 6: Final answer
    x = 247,004.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.