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Finding the Third Proportional to 106,436.25 and 163,649.25

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Solution

The third proportional to 106,436.25 and 163,649.25 is: 251,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,436.25 : 163,649.25 = 163,649.25 : x
  2. Step 2: Convert to fraction form
    106,436.25/163,649.25 = 163,649.25/x
  3. Step 3: Cross multiply
    106,436.25x = 163,649.25 × 163,649.25
  4. Step 4: Simplify right side
    106,436.25x = 26,781,077,025.56
  5. Step 5: Solve for x
    x = 26,781,077,025.56/106,436.25
  6. Step 6: Final answer
    x = 251,616.13

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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.