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Finding the Third Proportional to 106,440 and 163,655

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Solution

The third proportional to 106,440 and 163,655 is: 251,624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,440 : 163,655 = 163,655 : x
  2. Step 2: Convert to fraction form
    106,440/163,655 = 163,655/x
  3. Step 3: Cross multiply
    106,440x = 163,655 × 163,655
  4. Step 4: Simplify right side
    106,440x = 26,782,959,025
  5. Step 5: Solve for x
    x = 26,782,959,025/106,440
  6. Step 6: Final answer
    x = 251,624.94

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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.