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Finding the Third Proportional to 107,862.25 and 168,835.25

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Solution

The third proportional to 107,862.25 and 168,835.25 is: 264,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,862.25 : 168,835.25 = 168,835.25 : x
  2. Step 2: Convert to fraction form
    107,862.25/168,835.25 = 168,835.25/x
  3. Step 3: Cross multiply
    107,862.25x = 168,835.25 × 168,835.25
  4. Step 4: Simplify right side
    107,862.25x = 28,505,341,642.56
  5. Step 5: Solve for x
    x = 28,505,341,642.56/107,862.25
  6. Step 6: Final answer
    x = 264,275.42

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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.