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Finding the Third Proportional to 69,324.38 and 141,934.50

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Solution

The third proportional to 69,324.38 and 141,934.50 is: 290,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,324.38 : 141,934.50 = 141,934.50 : x
  2. Step 2: Convert to fraction form
    69,324.38/141,934.50 = 141,934.50/x
  3. Step 3: Cross multiply
    69,324.38x = 141,934.50 × 141,934.50
  4. Step 4: Simplify right side
    69,324.38x = 20,145,402,290.25
  5. Step 5: Solve for x
    x = 20,145,402,290.25/69,324.38
  6. Step 6: Final answer
    x = 290,596.23

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.