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Finding the Third Proportional to 68,826 and 92,627.75

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Solution

The third proportional to 68,826 and 92,627.75 is: 124,660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,826 : 92,627.75 = 92,627.75 : x
  2. Step 2: Convert to fraction form
    68,826/92,627.75 = 92,627.75/x
  3. Step 3: Cross multiply
    68,826x = 92,627.75 × 92,627.75
  4. Step 4: Simplify right side
    68,826x = 8,579,900,070.06
  5. Step 5: Solve for x
    x = 8,579,900,070.06/68,826
  6. Step 6: Final answer
    x = 124,660.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.