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Finding the Third Proportional to 64,854 and 141,453

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Solution

The third proportional to 64,854 and 141,453 is: 308,523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,854 : 141,453 = 141,453 : x
  2. Step 2: Convert to fraction form
    64,854/141,453 = 141,453/x
  3. Step 3: Cross multiply
    64,854x = 141,453 × 141,453
  4. Step 4: Simplify right side
    64,854x = 20,008,951,209
  5. Step 5: Solve for x
    x = 20,008,951,209/64,854
  6. Step 6: Final answer
    x = 308,523.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.