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Finding the Third Proportional to 68,224 and 105,776

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Solution

The third proportional to 68,224 and 105,776 is: 163,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,224 : 105,776 = 105,776 : x
  2. Step 2: Convert to fraction form
    68,224/105,776 = 105,776/x
  3. Step 3: Cross multiply
    68,224x = 105,776 × 105,776
  4. Step 4: Simplify right side
    68,224x = 11,188,562,176
  5. Step 5: Solve for x
    x = 11,188,562,176/68,224
  6. Step 6: Final answer
    x = 163,997.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.