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Finding the Third Proportional to 141,825.50 and 209,937.75

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Solution

The third proportional to 141,825.50 and 209,937.75 is: 310,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,825.50 : 209,937.75 = 209,937.75 : x
  2. Step 2: Convert to fraction form
    141,825.50/209,937.75 = 209,937.75/x
  3. Step 3: Cross multiply
    141,825.50x = 209,937.75 × 209,937.75
  4. Step 4: Simplify right side
    141,825.50x = 44,073,858,875.06
  5. Step 5: Solve for x
    x = 44,073,858,875.06/141,825.50
  6. Step 6: Final answer
    x = 310,761.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.