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Finding the Third Proportional to 106,009 and 163,935

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Solution

The third proportional to 106,009 and 163,935 is: 253,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,009 : 163,935 = 163,935 : x
  2. Step 2: Convert to fraction form
    106,009/163,935 = 163,935/x
  3. Step 3: Cross multiply
    106,009x = 163,935 × 163,935
  4. Step 4: Simplify right side
    106,009x = 26,874,684,225
  5. Step 5: Solve for x
    x = 26,874,684,225/106,009
  6. Step 6: Final answer
    x = 253,513.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.