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Finding the Third Proportional to 106,140 and 164,691

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Solution

The third proportional to 106,140 and 164,691 is: 255,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,140 : 164,691 = 164,691 : x
  2. Step 2: Convert to fraction form
    106,140/164,691 = 164,691/x
  3. Step 3: Cross multiply
    106,140x = 164,691 × 164,691
  4. Step 4: Simplify right side
    106,140x = 27,123,125,481
  5. Step 5: Solve for x
    x = 27,123,125,481/106,140
  6. Step 6: Final answer
    x = 255,541.04

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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.