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Finding the Third Proportional to 44,511 and 96,717

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Solution

The third proportional to 44,511 and 96,717 is: 210,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,511 : 96,717 = 96,717 : x
  2. Step 2: Convert to fraction form
    44,511/96,717 = 96,717/x
  3. Step 3: Cross multiply
    44,511x = 96,717 × 96,717
  4. Step 4: Simplify right side
    44,511x = 9,354,178,089
  5. Step 5: Solve for x
    x = 9,354,178,089/44,511
  6. Step 6: Final answer
    x = 210,154.30

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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.