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Finding the Third Proportional to 106,065 and 223,037

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Solution

The third proportional to 106,065 and 223,037 is: 469,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,065 : 223,037 = 223,037 : x
  2. Step 2: Convert to fraction form
    106,065/223,037 = 223,037/x
  3. Step 3: Cross multiply
    106,065x = 223,037 × 223,037
  4. Step 4: Simplify right side
    106,065x = 49,745,503,369
  5. Step 5: Solve for x
    x = 49,745,503,369/106,065
  6. Step 6: Final answer
    x = 469,009.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.