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Finding the Third Proportional to 86,208 and 187,935

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Solution

The third proportional to 86,208 and 187,935 is: 409,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,208 : 187,935 = 187,935 : x
  2. Step 2: Convert to fraction form
    86,208/187,935 = 187,935/x
  3. Step 3: Cross multiply
    86,208x = 187,935 × 187,935
  4. Step 4: Simplify right side
    86,208x = 35,319,564,225
  5. Step 5: Solve for x
    x = 35,319,564,225/86,208
  6. Step 6: Final answer
    x = 409,701.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.