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Finding the Third Proportional to 30,168 and 64,939.50

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Solution

The third proportional to 30,168 and 64,939.50 is: 139,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,168 : 64,939.50 = 64,939.50 : x
  2. Step 2: Convert to fraction form
    30,168/64,939.50 = 64,939.50/x
  3. Step 3: Cross multiply
    30,168x = 64,939.50 × 64,939.50
  4. Step 4: Simplify right side
    30,168x = 4,217,138,660.25
  5. Step 5: Solve for x
    x = 4,217,138,660.25/30,168
  6. Step 6: Final answer
    x = 139,788.47

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