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Finding the Third Proportional to 106,442 and 168,735

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Solution

The third proportional to 106,442 and 168,735 is: 267,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,442 : 168,735 = 168,735 : x
  2. Step 2: Convert to fraction form
    106,442/168,735 = 168,735/x
  3. Step 3: Cross multiply
    106,442x = 168,735 × 168,735
  4. Step 4: Simplify right side
    106,442x = 28,471,500,225
  5. Step 5: Solve for x
    x = 28,471,500,225/106,442
  6. Step 6: Final answer
    x = 267,483.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.