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Finding the Third Proportional to 69,323 and 141,925

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Solution

The third proportional to 69,323 and 141,925 is: 290,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,323 : 141,925 = 141,925 : x
  2. Step 2: Convert to fraction form
    69,323/141,925 = 141,925/x
  3. Step 3: Cross multiply
    69,323x = 141,925 × 141,925
  4. Step 4: Simplify right side
    69,323x = 20,142,705,625
  5. Step 5: Solve for x
    x = 20,142,705,625/69,323
  6. Step 6: Final answer
    x = 290,563.10

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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.