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Finding the Third Proportional to 103,944 and 162,000

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Solution

The third proportional to 103,944 and 162,000 is: 252,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,944 : 162,000 = 162,000 : x
  2. Step 2: Convert to fraction form
    103,944/162,000 = 162,000/x
  3. Step 3: Cross multiply
    103,944x = 162,000 × 162,000
  4. Step 4: Simplify right side
    103,944x = 26,244,000,000
  5. Step 5: Solve for x
    x = 26,244,000,000/103,944
  6. Step 6: Final answer
    x = 252,482.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.