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Finding the Third Proportional to 86,216 and 133,160

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Solution

The third proportional to 86,216 and 133,160 is: 205,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,216 : 133,160 = 133,160 : x
  2. Step 2: Convert to fraction form
    86,216/133,160 = 133,160/x
  3. Step 3: Cross multiply
    86,216x = 133,160 × 133,160
  4. Step 4: Simplify right side
    86,216x = 17,731,585,600
  5. Step 5: Solve for x
    x = 17,731,585,600/86,216
  6. Step 6: Final answer
    x = 205,664.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.