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Finding the Third Proportional to 84,579 and 131,706

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Solution

The third proportional to 84,579 and 131,706 is: 205,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,579 : 131,706 = 131,706 : x
  2. Step 2: Convert to fraction form
    84,579/131,706 = 131,706/x
  3. Step 3: Cross multiply
    84,579x = 131,706 × 131,706
  4. Step 4: Simplify right side
    84,579x = 17,346,470,436
  5. Step 5: Solve for x
    x = 17,346,470,436/84,579
  6. Step 6: Final answer
    x = 205,091.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.