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Finding the Third Proportional to 86,122 and 185,828

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Solution

The third proportional to 86,122 and 185,828 is: 400,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,122 : 185,828 = 185,828 : x
  2. Step 2: Convert to fraction form
    86,122/185,828 = 185,828/x
  3. Step 3: Cross multiply
    86,122x = 185,828 × 185,828
  4. Step 4: Simplify right side
    86,122x = 34,532,045,584
  5. Step 5: Solve for x
    x = 34,532,045,584/86,122
  6. Step 6: Final answer
    x = 400,966.60

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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.