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Finding the Third Proportional to 52,263.75 and 78,885

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Solution

The third proportional to 52,263.75 and 78,885 is: 119,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,263.75 : 78,885 = 78,885 : x
  2. Step 2: Convert to fraction form
    52,263.75/78,885 = 78,885/x
  3. Step 3: Cross multiply
    52,263.75x = 78,885 × 78,885
  4. Step 4: Simplify right side
    52,263.75x = 6,222,843,225
  5. Step 5: Solve for x
    x = 6,222,843,225/52,263.75
  6. Step 6: Final answer
    x = 119,066.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.