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Finding the Third Proportional to 59,568 and 130,989

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Solution

The third proportional to 59,568 and 130,989 is: 288,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,568 : 130,989 = 130,989 : x
  2. Step 2: Convert to fraction form
    59,568/130,989 = 130,989/x
  3. Step 3: Cross multiply
    59,568x = 130,989 × 130,989
  4. Step 4: Simplify right side
    59,568x = 17,158,118,121
  5. Step 5: Solve for x
    x = 17,158,118,121/59,568
  6. Step 6: Final answer
    x = 288,042.54

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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.