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Finding the Third Proportional to 45,824 and 97,075

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Solution

The third proportional to 45,824 and 97,075 is: 205,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,824 : 97,075 = 97,075 : x
  2. Step 2: Convert to fraction form
    45,824/97,075 = 97,075/x
  3. Step 3: Cross multiply
    45,824x = 97,075 × 97,075
  4. Step 4: Simplify right side
    45,824x = 9,423,555,625
  5. Step 5: Solve for x
    x = 9,423,555,625/45,824
  6. Step 6: Final answer
    x = 205,646.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.