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Finding the Third Proportional to 144,842 and 212,077

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Solution

The third proportional to 144,842 and 212,077 is: 310,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,842 : 212,077 = 212,077 : x
  2. Step 2: Convert to fraction form
    144,842/212,077 = 212,077/x
  3. Step 3: Cross multiply
    144,842x = 212,077 × 212,077
  4. Step 4: Simplify right side
    144,842x = 44,976,653,929
  5. Step 5: Solve for x
    x = 44,976,653,929/144,842
  6. Step 6: Final answer
    x = 310,522.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.