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Finding the Third Proportional to 67,826 and 145,035

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Solution

The third proportional to 67,826 and 145,035 is: 310,134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,826 : 145,035 = 145,035 : x
  2. Step 2: Convert to fraction form
    67,826/145,035 = 145,035/x
  3. Step 3: Cross multiply
    67,826x = 145,035 × 145,035
  4. Step 4: Simplify right side
    67,826x = 21,035,151,225
  5. Step 5: Solve for x
    x = 21,035,151,225/67,826
  6. Step 6: Final answer
    x = 310,134.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.