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Finding the Third Proportional to 59,194 and 130,052

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Solution

The third proportional to 59,194 and 130,052 is: 285,730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,194 : 130,052 = 130,052 : x
  2. Step 2: Convert to fraction form
    59,194/130,052 = 130,052/x
  3. Step 3: Cross multiply
    59,194x = 130,052 × 130,052
  4. Step 4: Simplify right side
    59,194x = 16,913,522,704
  5. Step 5: Solve for x
    x = 16,913,522,704/59,194
  6. Step 6: Final answer
    x = 285,730.36

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Why These Related Problems?

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