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Finding the Third Proportional to 106,506 and 165,600

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Solution

The third proportional to 106,506 and 165,600 is: 257,481.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,506 : 165,600 = 165,600 : x
  2. Step 2: Convert to fraction form
    106,506/165,600 = 165,600/x
  3. Step 3: Cross multiply
    106,506x = 165,600 × 165,600
  4. Step 4: Simplify right side
    106,506x = 27,423,360,000
  5. Step 5: Solve for x
    x = 27,423,360,000/106,506
  6. Step 6: Final answer
    x = 257,481.83

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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.