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Finding the Third Proportional to 49,994 and 77,259

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Solution

The third proportional to 49,994 and 77,259 is: 119,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,994 : 77,259 = 77,259 : x
  2. Step 2: Convert to fraction form
    49,994/77,259 = 77,259/x
  3. Step 3: Cross multiply
    49,994x = 77,259 × 77,259
  4. Step 4: Simplify right side
    49,994x = 5,968,953,081
  5. Step 5: Solve for x
    x = 5,968,953,081/49,994
  6. Step 6: Final answer
    x = 119,393.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.