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Finding the Third Proportional to 68,203 and 148,210

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Solution

The third proportional to 68,203 and 148,210 is: 322,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,203 : 148,210 = 148,210 : x
  2. Step 2: Convert to fraction form
    68,203/148,210 = 148,210/x
  3. Step 3: Cross multiply
    68,203x = 148,210 × 148,210
  4. Step 4: Simplify right side
    68,203x = 21,966,204,100
  5. Step 5: Solve for x
    x = 21,966,204,100/68,203
  6. Step 6: Final answer
    x = 322,070.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.