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Finding the Third Proportional to 92,873 and 135,417

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Solution

The third proportional to 92,873 and 135,417 is: 197,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,873 : 135,417 = 135,417 : x
  2. Step 2: Convert to fraction form
    92,873/135,417 = 135,417/x
  3. Step 3: Cross multiply
    92,873x = 135,417 × 135,417
  4. Step 4: Simplify right side
    92,873x = 18,337,763,889
  5. Step 5: Solve for x
    x = 18,337,763,889/92,873
  6. Step 6: Final answer
    x = 197,449.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.