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Finding the Third Proportional to 59,679 and 130,644

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Solution

The third proportional to 59,679 and 130,644 is: 285,994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,679 : 130,644 = 130,644 : x
  2. Step 2: Convert to fraction form
    59,679/130,644 = 130,644/x
  3. Step 3: Cross multiply
    59,679x = 130,644 × 130,644
  4. Step 4: Simplify right side
    59,679x = 17,067,854,736
  5. Step 5: Solve for x
    x = 17,067,854,736/59,679
  6. Step 6: Final answer
    x = 285,994.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.