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Finding the Third Proportional to 68,417 and 147,021

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Solution

The third proportional to 68,417 and 147,021 is: 315,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,417 : 147,021 = 147,021 : x
  2. Step 2: Convert to fraction form
    68,417/147,021 = 147,021/x
  3. Step 3: Cross multiply
    68,417x = 147,021 × 147,021
  4. Step 4: Simplify right side
    68,417x = 21,615,174,441
  5. Step 5: Solve for x
    x = 21,615,174,441/68,417
  6. Step 6: Final answer
    x = 315,932.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.