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Finding the Third Proportional to 125,326.75 and 260,981

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Solution

The third proportional to 125,326.75 and 260,981 is: 543,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,326.75 : 260,981 = 260,981 : x
  2. Step 2: Convert to fraction form
    125,326.75/260,981 = 260,981/x
  3. Step 3: Cross multiply
    125,326.75x = 260,981 × 260,981
  4. Step 4: Simplify right side
    125,326.75x = 68,111,082,361
  5. Step 5: Solve for x
    x = 68,111,082,361/125,326.75
  6. Step 6: Final answer
    x = 543,468.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.