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Finding the Third Proportional to 59,884 and 129,735

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Solution

The third proportional to 59,884 and 129,735 is: 281,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,884 : 129,735 = 129,735 : x
  2. Step 2: Convert to fraction form
    59,884/129,735 = 129,735/x
  3. Step 3: Cross multiply
    59,884x = 129,735 × 129,735
  4. Step 4: Simplify right side
    59,884x = 16,831,170,225
  5. Step 5: Solve for x
    x = 16,831,170,225/59,884
  6. Step 6: Final answer
    x = 281,062.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.