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Finding the Third Proportional to 58,633 and 90,846

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Solution

The third proportional to 58,633 and 90,846 is: 140,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,633 : 90,846 = 90,846 : x
  2. Step 2: Convert to fraction form
    58,633/90,846 = 90,846/x
  3. Step 3: Cross multiply
    58,633x = 90,846 × 90,846
  4. Step 4: Simplify right side
    58,633x = 8,252,995,716
  5. Step 5: Solve for x
    x = 8,252,995,716/58,633
  6. Step 6: Final answer
    x = 140,756.84

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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.