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Finding the Third Proportional to 58,930 and 94,075

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Solution

The third proportional to 58,930 and 94,075 is: 150,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,930 : 94,075 = 94,075 : x
  2. Step 2: Convert to fraction form
    58,930/94,075 = 94,075/x
  3. Step 3: Cross multiply
    58,930x = 94,075 × 94,075
  4. Step 4: Simplify right side
    58,930x = 8,850,105,625
  5. Step 5: Solve for x
    x = 8,850,105,625/58,930
  6. Step 6: Final answer
    x = 150,179.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.