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Finding the Third Proportional to 77,011 and 118,299

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Solution

The third proportional to 77,011 and 118,299 is: 181,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,011 : 118,299 = 118,299 : x
  2. Step 2: Convert to fraction form
    77,011/118,299 = 118,299/x
  3. Step 3: Cross multiply
    77,011x = 118,299 × 118,299
  4. Step 4: Simplify right side
    77,011x = 13,994,653,401
  5. Step 5: Solve for x
    x = 13,994,653,401/77,011
  6. Step 6: Final answer
    x = 181,722.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.