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Finding the Third Proportional to 60,378 and 130,002

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Solution

The third proportional to 60,378 and 130,002 is: 279,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,378 : 130,002 = 130,002 : x
  2. Step 2: Convert to fraction form
    60,378/130,002 = 130,002/x
  3. Step 3: Cross multiply
    60,378x = 130,002 × 130,002
  4. Step 4: Simplify right side
    60,378x = 16,900,520,004
  5. Step 5: Solve for x
    x = 16,900,520,004/60,378
  6. Step 6: Final answer
    x = 279,911.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.