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Finding the Third Proportional to 58,595 and 90,325

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Solution

The third proportional to 58,595 and 90,325 is: 139,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,595 : 90,325 = 90,325 : x
  2. Step 2: Convert to fraction form
    58,595/90,325 = 90,325/x
  3. Step 3: Cross multiply
    58,595x = 90,325 × 90,325
  4. Step 4: Simplify right side
    58,595x = 8,158,605,625
  5. Step 5: Solve for x
    x = 8,158,605,625/58,595
  6. Step 6: Final answer
    x = 139,237.23

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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.