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Finding the Third Proportional to 67,518 and 145,424

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Solution

The third proportional to 67,518 and 145,424 is: 313,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,518 : 145,424 = 145,424 : x
  2. Step 2: Convert to fraction form
    67,518/145,424 = 145,424/x
  3. Step 3: Cross multiply
    67,518x = 145,424 × 145,424
  4. Step 4: Simplify right side
    67,518x = 21,148,139,776
  5. Step 5: Solve for x
    x = 21,148,139,776/67,518
  6. Step 6: Final answer
    x = 313,222.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.