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Finding the Third Proportional to 86,220 and 186,032

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Solution

The third proportional to 86,220 and 186,032 is: 401,390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,220 : 186,032 = 186,032 : x
  2. Step 2: Convert to fraction form
    86,220/186,032 = 186,032/x
  3. Step 3: Cross multiply
    86,220x = 186,032 × 186,032
  4. Step 4: Simplify right side
    86,220x = 34,607,905,024
  5. Step 5: Solve for x
    x = 34,607,905,024/86,220
  6. Step 6: Final answer
    x = 401,390.69

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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.