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Finding the Third Proportional to 64,810 and 139,736

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Solution

The third proportional to 64,810 and 139,736 is: 301,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,810 : 139,736 = 139,736 : x
  2. Step 2: Convert to fraction form
    64,810/139,736 = 139,736/x
  3. Step 3: Cross multiply
    64,810x = 139,736 × 139,736
  4. Step 4: Simplify right side
    64,810x = 19,526,149,696
  5. Step 5: Solve for x
    x = 19,526,149,696/64,810
  6. Step 6: Final answer
    x = 301,282.98

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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.