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Finding the Third Proportional to 106,433.25 and 163,642.88

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Solution

The third proportional to 106,433.25 and 163,642.88 is: 251,603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,433.25 : 163,642.88 = 163,642.88 : x
  2. Step 2: Convert to fraction form
    106,433.25/163,642.88 = 163,642.88/x
  3. Step 3: Cross multiply
    106,433.25x = 163,642.88 × 163,642.88
  4. Step 4: Simplify right side
    106,433.25x = 26,778,990,538.27
  5. Step 5: Solve for x
    x = 26,778,990,538.27/106,433.25
  6. Step 6: Final answer
    x = 251,603.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.