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Finding the Third Proportional to 64,748 and 140,892

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Solution

The third proportional to 64,748 and 140,892 is: 306,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,748 : 140,892 = 140,892 : x
  2. Step 2: Convert to fraction form
    64,748/140,892 = 140,892/x
  3. Step 3: Cross multiply
    64,748x = 140,892 × 140,892
  4. Step 4: Simplify right side
    64,748x = 19,850,555,664
  5. Step 5: Solve for x
    x = 19,850,555,664/64,748
  6. Step 6: Final answer
    x = 306,581.76

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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.