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Finding the Third Proportional to 109,476.75 and 164,701.13

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Solution

The third proportional to 109,476.75 and 164,701.13 is: 247,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,476.75 : 164,701.13 = 164,701.13 : x
  2. Step 2: Convert to fraction form
    109,476.75/164,701.13 = 164,701.13/x
  3. Step 3: Cross multiply
    109,476.75x = 164,701.13 × 164,701.13
  4. Step 4: Simplify right side
    109,476.75x = 27,126,460,576.27
  5. Step 5: Solve for x
    x = 27,126,460,576.27/109,476.75
  6. Step 6: Final answer
    x = 247,782.84

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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.