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Finding the Third Proportional to 140,950 and 193,281

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Solution

The third proportional to 140,950 and 193,281 is: 265,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,950 : 193,281 = 193,281 : x
  2. Step 2: Convert to fraction form
    140,950/193,281 = 193,281/x
  3. Step 3: Cross multiply
    140,950x = 193,281 × 193,281
  4. Step 4: Simplify right side
    140,950x = 37,357,544,961
  5. Step 5: Solve for x
    x = 37,357,544,961/140,950
  6. Step 6: Final answer
    x = 265,041.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.