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Finding the Third Proportional to 119,762 and 183,291

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Solution

The third proportional to 119,762 and 183,291 is: 280,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,762 : 183,291 = 183,291 : x
  2. Step 2: Convert to fraction form
    119,762/183,291 = 183,291/x
  3. Step 3: Cross multiply
    119,762x = 183,291 × 183,291
  4. Step 4: Simplify right side
    119,762x = 33,595,590,681
  5. Step 5: Solve for x
    x = 33,595,590,681/119,762
  6. Step 6: Final answer
    x = 280,519.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.