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Finding the Third Proportional to 64,708 and 139,628

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Solution

The third proportional to 64,708 and 139,628 is: 301,291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,708 : 139,628 = 139,628 : x
  2. Step 2: Convert to fraction form
    64,708/139,628 = 139,628/x
  3. Step 3: Cross multiply
    64,708x = 139,628 × 139,628
  4. Step 4: Simplify right side
    64,708x = 19,495,978,384
  5. Step 5: Solve for x
    x = 19,495,978,384/64,708
  6. Step 6: Final answer
    x = 301,291.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.