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Finding the Third Proportional to 64,863 and 141,090

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Solution

The third proportional to 64,863 and 141,090 is: 306,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,863 : 141,090 = 141,090 : x
  2. Step 2: Convert to fraction form
    64,863/141,090 = 141,090/x
  3. Step 3: Cross multiply
    64,863x = 141,090 × 141,090
  4. Step 4: Simplify right side
    64,863x = 19,906,388,100
  5. Step 5: Solve for x
    x = 19,906,388,100/64,863
  6. Step 6: Final answer
    x = 306,898.97

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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.