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Finding the Third Proportional to 141,000.75 and 197,619.75

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Solution

The third proportional to 141,000.75 and 197,619.75 is: 276,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,000.75 : 197,619.75 = 197,619.75 : x
  2. Step 2: Convert to fraction form
    141,000.75/197,619.75 = 197,619.75/x
  3. Step 3: Cross multiply
    141,000.75x = 197,619.75 × 197,619.75
  4. Step 4: Simplify right side
    141,000.75x = 39,053,565,590.06
  5. Step 5: Solve for x
    x = 39,053,565,590.06/141,000.75
  6. Step 6: Final answer
    x = 276,974.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.