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Finding the Third Proportional to 59,014 and 90,242

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Solution

The third proportional to 59,014 and 90,242 is: 137,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,014 : 90,242 = 90,242 : x
  2. Step 2: Convert to fraction form
    59,014/90,242 = 90,242/x
  3. Step 3: Cross multiply
    59,014x = 90,242 × 90,242
  4. Step 4: Simplify right side
    59,014x = 8,143,618,564
  5. Step 5: Solve for x
    x = 8,143,618,564/59,014
  6. Step 6: Final answer
    x = 137,994.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.