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Finding the Third Proportional to 60,013 and 130,610

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Solution

The third proportional to 60,013 and 130,610 is: 284,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,013 : 130,610 = 130,610 : x
  2. Step 2: Convert to fraction form
    60,013/130,610 = 130,610/x
  3. Step 3: Cross multiply
    60,013x = 130,610 × 130,610
  4. Step 4: Simplify right side
    60,013x = 17,058,972,100
  5. Step 5: Solve for x
    x = 17,058,972,100/60,013
  6. Step 6: Final answer
    x = 284,254.61

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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.