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Finding the Third Proportional to 49,282 and 77,219

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Solution

The third proportional to 49,282 and 77,219 is: 120,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,282 : 77,219 = 77,219 : x
  2. Step 2: Convert to fraction form
    49,282/77,219 = 77,219/x
  3. Step 3: Cross multiply
    49,282x = 77,219 × 77,219
  4. Step 4: Simplify right side
    49,282x = 5,962,773,961
  5. Step 5: Solve for x
    x = 5,962,773,961/49,282
  6. Step 6: Final answer
    x = 120,992.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.