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Finding the Third Proportional to 122,144 and 265,172

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Solution

The third proportional to 122,144 and 265,172 is: 575,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,144 : 265,172 = 265,172 : x
  2. Step 2: Convert to fraction form
    122,144/265,172 = 265,172/x
  3. Step 3: Cross multiply
    122,144x = 265,172 × 265,172
  4. Step 4: Simplify right side
    122,144x = 70,316,189,584
  5. Step 5: Solve for x
    x = 70,316,189,584/122,144
  6. Step 6: Final answer
    x = 575,682.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.