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Finding the Third Proportional to 64,853 and 141,068

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Solution

The third proportional to 64,853 and 141,068 is: 306,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,853 : 141,068 = 141,068 : x
  2. Step 2: Convert to fraction form
    64,853/141,068 = 141,068/x
  3. Step 3: Cross multiply
    64,853x = 141,068 × 141,068
  4. Step 4: Simplify right side
    64,853x = 19,900,180,624
  5. Step 5: Solve for x
    x = 19,900,180,624/64,853
  6. Step 6: Final answer
    x = 306,850.58

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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.