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Finding the Third Proportional to 68,033 and 147,717

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Solution

The third proportional to 68,033 and 147,717 is: 320,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,033 : 147,717 = 147,717 : x
  2. Step 2: Convert to fraction form
    68,033/147,717 = 147,717/x
  3. Step 3: Cross multiply
    68,033x = 147,717 × 147,717
  4. Step 4: Simplify right side
    68,033x = 21,820,312,089
  5. Step 5: Solve for x
    x = 21,820,312,089/68,033
  6. Step 6: Final answer
    x = 320,731.29

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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.