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Finding the Third Proportional to 65,124 and 135,432

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Solution

The third proportional to 65,124 and 135,432 is: 281,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,124 : 135,432 = 135,432 : x
  2. Step 2: Convert to fraction form
    65,124/135,432 = 135,432/x
  3. Step 3: Cross multiply
    65,124x = 135,432 × 135,432
  4. Step 4: Simplify right side
    65,124x = 18,341,826,624
  5. Step 5: Solve for x
    x = 18,341,826,624/65,124
  6. Step 6: Final answer
    x = 281,644.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.