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Finding the Third Proportional to 84,926 and 173,537

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Solution

The third proportional to 84,926 and 173,537 is: 354,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,926 : 173,537 = 173,537 : x
  2. Step 2: Convert to fraction form
    84,926/173,537 = 173,537/x
  3. Step 3: Cross multiply
    84,926x = 173,537 × 173,537
  4. Step 4: Simplify right side
    84,926x = 30,115,090,369
  5. Step 5: Solve for x
    x = 30,115,090,369/84,926
  6. Step 6: Final answer
    x = 354,603.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.