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Finding the Third Proportional to 59,760 and 125,640

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Solution

The third proportional to 59,760 and 125,640 is: 264,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,760 : 125,640 = 125,640 : x
  2. Step 2: Convert to fraction form
    59,760/125,640 = 125,640/x
  3. Step 3: Cross multiply
    59,760x = 125,640 × 125,640
  4. Step 4: Simplify right side
    59,760x = 15,785,409,600
  5. Step 5: Solve for x
    x = 15,785,409,600/59,760
  6. Step 6: Final answer
    x = 264,146.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.