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Finding the Third Proportional to 59,674 and 130,000

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Solution

The third proportional to 59,674 and 130,000 is: 283,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,674 : 130,000 = 130,000 : x
  2. Step 2: Convert to fraction form
    59,674/130,000 = 130,000/x
  3. Step 3: Cross multiply
    59,674x = 130,000 × 130,000
  4. Step 4: Simplify right side
    59,674x = 16,900,000,000
  5. Step 5: Solve for x
    x = 16,900,000,000/59,674
  6. Step 6: Final answer
    x = 283,205.42

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