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Finding the Third Proportional to 59,588 and 130,027

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Solution

The third proportional to 59,588 and 130,027 is: 283,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,588 : 130,027 = 130,027 : x
  2. Step 2: Convert to fraction form
    59,588/130,027 = 130,027/x
  3. Step 3: Cross multiply
    59,588x = 130,027 × 130,027
  4. Step 4: Simplify right side
    59,588x = 16,907,020,729
  5. Step 5: Solve for x
    x = 16,907,020,729/59,588
  6. Step 6: Final answer
    x = 283,731.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.