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Finding the Third Proportional to 94,532 and 141,797

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Solution

The third proportional to 94,532 and 141,797 is: 212,694.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,532 : 141,797 = 141,797 : x
  2. Step 2: Convert to fraction form
    94,532/141,797 = 141,797/x
  3. Step 3: Cross multiply
    94,532x = 141,797 × 141,797
  4. Step 4: Simplify right side
    94,532x = 20,106,389,209
  5. Step 5: Solve for x
    x = 20,106,389,209/94,532
  6. Step 6: Final answer
    x = 212,694.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.