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Finding the Third Proportional to 67,517.14 and 145,501.63

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Solution

The third proportional to 67,517.14 and 145,501.63 is: 313,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,517.14 : 145,501.63 = 145,501.63 : x
  2. Step 2: Convert to fraction form
    67,517.14/145,501.63 = 145,501.63/x
  3. Step 3: Cross multiply
    67,517.14x = 145,501.63 × 145,501.63
  4. Step 4: Simplify right side
    67,517.14x = 21,170,724,014.37
  5. Step 5: Solve for x
    x = 21,170,724,014.37/67,517.14
  6. Step 6: Final answer
    x = 313,560.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.