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Finding the Third Proportional to 141,543 and 188,986.50

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Solution

The third proportional to 141,543 and 188,986.50 is: 252,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,543 : 188,986.50 = 188,986.50 : x
  2. Step 2: Convert to fraction form
    141,543/188,986.50 = 188,986.50/x
  3. Step 3: Cross multiply
    141,543x = 188,986.50 × 188,986.50
  4. Step 4: Simplify right side
    141,543x = 35,715,897,182.25
  5. Step 5: Solve for x
    x = 35,715,897,182.25/141,543
  6. Step 6: Final answer
    x = 252,332.49

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.