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Finding the Third Proportional to 60,102 and 94,279

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Solution

The third proportional to 60,102 and 94,279 is: 147,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,102 : 94,279 = 94,279 : x
  2. Step 2: Convert to fraction form
    60,102/94,279 = 94,279/x
  3. Step 3: Cross multiply
    60,102x = 94,279 × 94,279
  4. Step 4: Simplify right side
    60,102x = 8,888,529,841
  5. Step 5: Solve for x
    x = 8,888,529,841/60,102
  6. Step 6: Final answer
    x = 147,890.75

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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.