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Finding the Third Proportional to 107,862.50 and 168,836

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Solution

The third proportional to 107,862.50 and 168,836 is: 264,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,862.50 : 168,836 = 168,836 : x
  2. Step 2: Convert to fraction form
    107,862.50/168,836 = 168,836/x
  3. Step 3: Cross multiply
    107,862.50x = 168,836 × 168,836
  4. Step 4: Simplify right side
    107,862.50x = 28,505,594,896
  5. Step 5: Solve for x
    x = 28,505,594,896/107,862.50
  6. Step 6: Final answer
    x = 264,277.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.