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Finding the Third Proportional to 59,188 and 130,040

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Solution

The third proportional to 59,188 and 130,040 is: 285,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,188 : 130,040 = 130,040 : x
  2. Step 2: Convert to fraction form
    59,188/130,040 = 130,040/x
  3. Step 3: Cross multiply
    59,188x = 130,040 × 130,040
  4. Step 4: Simplify right side
    59,188x = 16,910,401,600
  5. Step 5: Solve for x
    x = 16,910,401,600/59,188
  6. Step 6: Final answer
    x = 285,706.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.