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Finding the Third Proportional to 104,075 and 215,534

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Solution

The third proportional to 104,075 and 215,534 is: 446,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,075 : 215,534 = 215,534 : x
  2. Step 2: Convert to fraction form
    104,075/215,534 = 215,534/x
  3. Step 3: Cross multiply
    104,075x = 215,534 × 215,534
  4. Step 4: Simplify right side
    104,075x = 46,454,905,156
  5. Step 5: Solve for x
    x = 46,454,905,156/104,075
  6. Step 6: Final answer
    x = 446,359.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.