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Finding the Third Proportional to 59,827.25 and 92,625.75

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Solution

The third proportional to 59,827.25 and 92,625.75 is: 143,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,827.25 : 92,625.75 = 92,625.75 : x
  2. Step 2: Convert to fraction form
    59,827.25/92,625.75 = 92,625.75/x
  3. Step 3: Cross multiply
    59,827.25x = 92,625.75 × 92,625.75
  4. Step 4: Simplify right side
    59,827.25x = 8,579,529,563.06
  5. Step 5: Solve for x
    x = 8,579,529,563.06/59,827.25
  6. Step 6: Final answer
    x = 143,405.05

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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.