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Finding the Third Proportional to 60,210 and 94,311

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Solution

The third proportional to 60,210 and 94,311 is: 147,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,210 : 94,311 = 94,311 : x
  2. Step 2: Convert to fraction form
    60,210/94,311 = 94,311/x
  3. Step 3: Cross multiply
    60,210x = 94,311 × 94,311
  4. Step 4: Simplify right side
    60,210x = 8,894,564,721
  5. Step 5: Solve for x
    x = 8,894,564,721/60,210
  6. Step 6: Final answer
    x = 147,725.71

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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.