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Finding the Third Proportional to 66,654 and 144,000

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Solution

The third proportional to 66,654 and 144,000 is: 311,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,654 : 144,000 = 144,000 : x
  2. Step 2: Convert to fraction form
    66,654/144,000 = 144,000/x
  3. Step 3: Cross multiply
    66,654x = 144,000 × 144,000
  4. Step 4: Simplify right side
    66,654x = 20,736,000,000
  5. Step 5: Solve for x
    x = 20,736,000,000/66,654
  6. Step 6: Final answer
    x = 311,099.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.