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Finding the Third Proportional to 52,621.50 and 78,993

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Solution

The third proportional to 52,621.50 and 78,993 is: 118,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,621.50 : 78,993 = 78,993 : x
  2. Step 2: Convert to fraction form
    52,621.50/78,993 = 78,993/x
  3. Step 3: Cross multiply
    52,621.50x = 78,993 × 78,993
  4. Step 4: Simplify right side
    52,621.50x = 6,239,894,049
  5. Step 5: Solve for x
    x = 6,239,894,049/52,621.50
  6. Step 6: Final answer
    x = 118,580.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.