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Finding the Third Proportional to 68,274 and 139,827.75

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Solution

The third proportional to 68,274 and 139,827.75 is: 286,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,274 : 139,827.75 = 139,827.75 : x
  2. Step 2: Convert to fraction form
    68,274/139,827.75 = 139,827.75/x
  3. Step 3: Cross multiply
    68,274x = 139,827.75 × 139,827.75
  4. Step 4: Simplify right side
    68,274x = 19,551,799,670.06
  5. Step 5: Solve for x
    x = 19,551,799,670.06/68,274
  6. Step 6: Final answer
    x = 286,372.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.