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Finding the Third Proportional to 106,033 and 163,970

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Solution

The third proportional to 106,033 and 163,970 is: 253,564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,033 : 163,970 = 163,970 : x
  2. Step 2: Convert to fraction form
    106,033/163,970 = 163,970/x
  3. Step 3: Cross multiply
    106,033x = 163,970 × 163,970
  4. Step 4: Simplify right side
    106,033x = 26,886,160,900
  5. Step 5: Solve for x
    x = 26,886,160,900/106,033
  6. Step 6: Final answer
    x = 253,564.09

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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.