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Finding the Third Proportional to 60,108 and 94,288

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Solution

The third proportional to 60,108 and 94,288 is: 147,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,108 : 94,288 = 94,288 : x
  2. Step 2: Convert to fraction form
    60,108/94,288 = 94,288/x
  3. Step 3: Cross multiply
    60,108x = 94,288 × 94,288
  4. Step 4: Simplify right side
    60,108x = 8,890,226,944
  5. Step 5: Solve for x
    x = 8,890,226,944/60,108
  6. Step 6: Final answer
    x = 147,904.22

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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.