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Finding the Third Proportional to 65,252 and 139,049

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Solution

The third proportional to 65,252 and 139,049 is: 296,307.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,252 : 139,049 = 139,049 : x
  2. Step 2: Convert to fraction form
    65,252/139,049 = 139,049/x
  3. Step 3: Cross multiply
    65,252x = 139,049 × 139,049
  4. Step 4: Simplify right side
    65,252x = 19,334,624,401
  5. Step 5: Solve for x
    x = 19,334,624,401/65,252
  6. Step 6: Final answer
    x = 296,307.00

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.