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Finding the Third Proportional to 59,826 and 92,235

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Solution

The third proportional to 59,826 and 92,235 is: 142,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,826 : 92,235 = 92,235 : x
  2. Step 2: Convert to fraction form
    59,826/92,235 = 92,235/x
  3. Step 3: Cross multiply
    59,826x = 92,235 × 92,235
  4. Step 4: Simplify right side
    59,826x = 8,507,295,225
  5. Step 5: Solve for x
    x = 8,507,295,225/59,826
  6. Step 6: Final answer
    x = 142,200.64

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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.