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Finding the Third Proportional to 43,780 and 94,888

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Solution

The third proportional to 43,780 and 94,888 is: 205,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,780 : 94,888 = 94,888 : x
  2. Step 2: Convert to fraction form
    43,780/94,888 = 94,888/x
  3. Step 3: Cross multiply
    43,780x = 94,888 × 94,888
  4. Step 4: Simplify right side
    43,780x = 9,003,732,544
  5. Step 5: Solve for x
    x = 9,003,732,544/43,780
  6. Step 6: Final answer
    x = 205,658.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.