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Finding the Third Proportional to 124,771 and 162,735

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Solution

The third proportional to 124,771 and 162,735 is: 212,250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,771 : 162,735 = 162,735 : x
  2. Step 2: Convert to fraction form
    124,771/162,735 = 162,735/x
  3. Step 3: Cross multiply
    124,771x = 162,735 × 162,735
  4. Step 4: Simplify right side
    124,771x = 26,482,680,225
  5. Step 5: Solve for x
    x = 26,482,680,225/124,771
  6. Step 6: Final answer
    x = 212,250.28

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.