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Finding the Third Proportional to 61,364 and 91,182

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Solution

The third proportional to 61,364 and 91,182 is: 135,489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,364 : 91,182 = 91,182 : x
  2. Step 2: Convert to fraction form
    61,364/91,182 = 91,182/x
  3. Step 3: Cross multiply
    61,364x = 91,182 × 91,182
  4. Step 4: Simplify right side
    61,364x = 8,314,157,124
  5. Step 5: Solve for x
    x = 8,314,157,124/61,364
  6. Step 6: Final answer
    x = 135,489.17

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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.