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Finding the Third Proportional to 65,053 and 139,808

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Solution

The third proportional to 65,053 and 139,808 is: 300,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,053 : 139,808 = 139,808 : x
  2. Step 2: Convert to fraction form
    65,053/139,808 = 139,808/x
  3. Step 3: Cross multiply
    65,053x = 139,808 × 139,808
  4. Step 4: Simplify right side
    65,053x = 19,546,276,864
  5. Step 5: Solve for x
    x = 19,546,276,864/65,053
  6. Step 6: Final answer
    x = 300,466.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.