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Finding the Third Proportional to 84,075 and 181,434

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Solution

The third proportional to 84,075 and 181,434 is: 391,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,075 : 181,434 = 181,434 : x
  2. Step 2: Convert to fraction form
    84,075/181,434 = 181,434/x
  3. Step 3: Cross multiply
    84,075x = 181,434 × 181,434
  4. Step 4: Simplify right side
    84,075x = 32,918,296,356
  5. Step 5: Solve for x
    x = 32,918,296,356/84,075
  6. Step 6: Final answer
    x = 391,534.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.