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Finding the Third Proportional to 67,730.50 and 105,473.75

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Solution

The third proportional to 67,730.50 and 105,473.75 is: 164,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,730.50 : 105,473.75 = 105,473.75 : x
  2. Step 2: Convert to fraction form
    67,730.50/105,473.75 = 105,473.75/x
  3. Step 3: Cross multiply
    67,730.50x = 105,473.75 × 105,473.75
  4. Step 4: Simplify right side
    67,730.50x = 11,124,711,939.06
  5. Step 5: Solve for x
    x = 11,124,711,939.06/67,730.50
  6. Step 6: Final answer
    x = 164,249.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.