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Finding the Third Proportional to 68,224 and 105,248

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Solution

The third proportional to 68,224 and 105,248 is: 162,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,224 : 105,248 = 105,248 : x
  2. Step 2: Convert to fraction form
    68,224/105,248 = 105,248/x
  3. Step 3: Cross multiply
    68,224x = 105,248 × 105,248
  4. Step 4: Simplify right side
    68,224x = 11,077,141,504
  5. Step 5: Solve for x
    x = 11,077,141,504/68,224
  6. Step 6: Final answer
    x = 162,364.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.