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Finding the Third Proportional to 139,970 and 144,002

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Solution

The third proportional to 139,970 and 144,002 is: 148,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,970 : 144,002 = 144,002 : x
  2. Step 2: Convert to fraction form
    139,970/144,002 = 144,002/x
  3. Step 3: Cross multiply
    139,970x = 144,002 × 144,002
  4. Step 4: Simplify right side
    139,970x = 20,736,576,004
  5. Step 5: Solve for x
    x = 20,736,576,004/139,970
  6. Step 6: Final answer
    x = 148,150.15

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.