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Finding the Third Proportional to 37,088 and 86,864

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Solution

The third proportional to 37,088 and 86,864 is: 203,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,088 : 86,864 = 86,864 : x
  2. Step 2: Convert to fraction form
    37,088/86,864 = 86,864/x
  3. Step 3: Cross multiply
    37,088x = 86,864 × 86,864
  4. Step 4: Simplify right side
    37,088x = 7,545,354,496
  5. Step 5: Solve for x
    x = 7,545,354,496/37,088
  6. Step 6: Final answer
    x = 203,444.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.