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Finding the Third Proportional to 61,138.75 and 91,144

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Solution

The third proportional to 61,138.75 and 91,144 is: 135,875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,138.75 : 91,144 = 91,144 : x
  2. Step 2: Convert to fraction form
    61,138.75/91,144 = 91,144/x
  3. Step 3: Cross multiply
    61,138.75x = 91,144 × 91,144
  4. Step 4: Simplify right side
    61,138.75x = 8,307,228,736
  5. Step 5: Solve for x
    x = 8,307,228,736/61,138.75
  6. Step 6: Final answer
    x = 135,875.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.