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Finding the Third Proportional to 139,968 and 144,000.28

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Solution

The third proportional to 139,968 and 144,000.28 is: 148,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968 : 144,000.28 = 144,000.28 : x
  2. Step 2: Convert to fraction form
    139,968/144,000.28 = 144,000.28/x
  3. Step 3: Cross multiply
    139,968x = 144,000.28 × 144,000.28
  4. Step 4: Simplify right side
    139,968x = 20,736,081,000.08
  5. Step 5: Solve for x
    x = 20,736,081,000.08/139,968
  6. Step 6: Final answer
    x = 148,148.73

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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.