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Finding the Third Proportional to 86,496 and 190,032

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Solution

The third proportional to 86,496 and 190,032 is: 417,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,496 : 190,032 = 190,032 : x
  2. Step 2: Convert to fraction form
    86,496/190,032 = 190,032/x
  3. Step 3: Cross multiply
    86,496x = 190,032 × 190,032
  4. Step 4: Simplify right side
    86,496x = 36,112,161,024
  5. Step 5: Solve for x
    x = 36,112,161,024/86,496
  6. Step 6: Final answer
    x = 417,500.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.