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Finding the Third Proportional to 59,679 and 130,008

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Solution

The third proportional to 59,679 and 130,008 is: 283,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,679 : 130,008 = 130,008 : x
  2. Step 2: Convert to fraction form
    59,679/130,008 = 130,008/x
  3. Step 3: Cross multiply
    59,679x = 130,008 × 130,008
  4. Step 4: Simplify right side
    59,679x = 16,902,080,064
  5. Step 5: Solve for x
    x = 16,902,080,064/59,679
  6. Step 6: Final answer
    x = 283,216.54

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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.