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Finding the Third Proportional to 59,382 and 92,025

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Solution

The third proportional to 59,382 and 92,025 is: 142,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,382 : 92,025 = 92,025 : x
  2. Step 2: Convert to fraction form
    59,382/92,025 = 92,025/x
  3. Step 3: Cross multiply
    59,382x = 92,025 × 92,025
  4. Step 4: Simplify right side
    59,382x = 8,468,600,625
  5. Step 5: Solve for x
    x = 8,468,600,625/59,382
  6. Step 6: Final answer
    x = 142,612.25

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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.