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Finding the Third Proportional to 86,776 and 175,965

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Solution

The third proportional to 86,776 and 175,965 is: 356,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,776 : 175,965 = 175,965 : x
  2. Step 2: Convert to fraction form
    86,776/175,965 = 175,965/x
  3. Step 3: Cross multiply
    86,776x = 175,965 × 175,965
  4. Step 4: Simplify right side
    86,776x = 30,963,681,225
  5. Step 5: Solve for x
    x = 30,963,681,225/86,776
  6. Step 6: Final answer
    x = 356,823.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.