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Finding the Third Proportional to 60,106 and 94,285

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Solution

The third proportional to 60,106 and 94,285 is: 147,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,106 : 94,285 = 94,285 : x
  2. Step 2: Convert to fraction form
    60,106/94,285 = 94,285/x
  3. Step 3: Cross multiply
    60,106x = 94,285 × 94,285
  4. Step 4: Simplify right side
    60,106x = 8,889,661,225
  5. Step 5: Solve for x
    x = 8,889,661,225/60,106
  6. Step 6: Final answer
    x = 147,899.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.