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Finding the Third Proportional to 60,512 and 94,210

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Solution

The third proportional to 60,512 and 94,210 is: 146,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,512 : 94,210 = 94,210 : x
  2. Step 2: Convert to fraction form
    60,512/94,210 = 94,210/x
  3. Step 3: Cross multiply
    60,512x = 94,210 × 94,210
  4. Step 4: Simplify right side
    60,512x = 8,875,524,100
  5. Step 5: Solve for x
    x = 8,875,524,100/60,512
  6. Step 6: Final answer
    x = 146,673.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.