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Finding the Third Proportional to 61,360 and 91,176

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Solution

The third proportional to 61,360 and 91,176 is: 135,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,360 : 91,176 = 91,176 : x
  2. Step 2: Convert to fraction form
    61,360/91,176 = 91,176/x
  3. Step 3: Cross multiply
    61,360x = 91,176 × 91,176
  4. Step 4: Simplify right side
    61,360x = 8,313,062,976
  5. Step 5: Solve for x
    x = 8,313,062,976/61,360
  6. Step 6: Final answer
    x = 135,480.17

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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.