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Finding the Third Proportional to 85,406 and 135,712

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Solution

The third proportional to 85,406 and 135,712 is: 215,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,406 : 135,712 = 135,712 : x
  2. Step 2: Convert to fraction form
    85,406/135,712 = 135,712/x
  3. Step 3: Cross multiply
    85,406x = 135,712 × 135,712
  4. Step 4: Simplify right side
    85,406x = 18,417,746,944
  5. Step 5: Solve for x
    x = 18,417,746,944/85,406
  6. Step 6: Final answer
    x = 215,649.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.