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Finding the Third Proportional to 68,218 and 94,210

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Solution

The third proportional to 68,218 and 94,210 is: 130,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,218 : 94,210 = 94,210 : x
  2. Step 2: Convert to fraction form
    68,218/94,210 = 94,210/x
  3. Step 3: Cross multiply
    68,218x = 94,210 × 94,210
  4. Step 4: Simplify right side
    68,218x = 8,875,524,100
  5. Step 5: Solve for x
    x = 8,875,524,100/68,218
  6. Step 6: Final answer
    x = 130,105.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.