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Finding the Third Proportional to 86,161 and 186,160

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Solution

The third proportional to 86,161 and 186,160 is: 402,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,161 : 186,160 = 186,160 : x
  2. Step 2: Convert to fraction form
    86,161/186,160 = 186,160/x
  3. Step 3: Cross multiply
    86,161x = 186,160 × 186,160
  4. Step 4: Simplify right side
    86,161x = 34,655,545,600
  5. Step 5: Solve for x
    x = 34,655,545,600/86,161
  6. Step 6: Final answer
    x = 402,218.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.