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Finding the Third Proportional to 104,985 and 159,421

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Solution

The third proportional to 104,985 and 159,421 is: 242,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,985 : 159,421 = 159,421 : x
  2. Step 2: Convert to fraction form
    104,985/159,421 = 159,421/x
  3. Step 3: Cross multiply
    104,985x = 159,421 × 159,421
  4. Step 4: Simplify right side
    104,985x = 25,415,055,241
  5. Step 5: Solve for x
    x = 25,415,055,241/104,985
  6. Step 6: Final answer
    x = 242,082.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.