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Finding the Third Proportional to 51,144 and 111,585

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Solution

The third proportional to 51,144 and 111,585 is: 243,454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,144 : 111,585 = 111,585 : x
  2. Step 2: Convert to fraction form
    51,144/111,585 = 111,585/x
  3. Step 3: Cross multiply
    51,144x = 111,585 × 111,585
  4. Step 4: Simplify right side
    51,144x = 12,451,212,225
  5. Step 5: Solve for x
    x = 12,451,212,225/51,144
  6. Step 6: Final answer
    x = 243,454.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.