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Finding the Third Proportional to 86,872 and 190,352

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Solution

The third proportional to 86,872 and 190,352 is: 417,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,872 : 190,352 = 190,352 : x
  2. Step 2: Convert to fraction form
    86,872/190,352 = 190,352/x
  3. Step 3: Cross multiply
    86,872x = 190,352 × 190,352
  4. Step 4: Simplify right side
    86,872x = 36,233,883,904
  5. Step 5: Solve for x
    x = 36,233,883,904/86,872
  6. Step 6: Final answer
    x = 417,095.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.