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Finding the Third Proportional to 32,152.50 and 68,919.75

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Solution

The third proportional to 32,152.50 and 68,919.75 is: 147,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.50 : 68,919.75 = 68,919.75 : x
  2. Step 2: Convert to fraction form
    32,152.50/68,919.75 = 68,919.75/x
  3. Step 3: Cross multiply
    32,152.50x = 68,919.75 × 68,919.75
  4. Step 4: Simplify right side
    32,152.50x = 4,749,931,940.06
  5. Step 5: Solve for x
    x = 4,749,931,940.06/32,152.50
  6. Step 6: Final answer
    x = 147,731.34

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