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Finding the Third Proportional to 86,571 and 110,719

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Solution

The third proportional to 86,571 and 110,719 is: 141,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,571 : 110,719 = 110,719 : x
  2. Step 2: Convert to fraction form
    86,571/110,719 = 110,719/x
  3. Step 3: Cross multiply
    86,571x = 110,719 × 110,719
  4. Step 4: Simplify right side
    86,571x = 12,258,696,961
  5. Step 5: Solve for x
    x = 12,258,696,961/86,571
  6. Step 6: Final answer
    x = 141,602.81

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.