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Finding the Third Proportional to 65,482 and 139,508

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Solution

The third proportional to 65,482 and 139,508 is: 297,218.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,482 : 139,508 = 139,508 : x
  2. Step 2: Convert to fraction form
    65,482/139,508 = 139,508/x
  3. Step 3: Cross multiply
    65,482x = 139,508 × 139,508
  4. Step 4: Simplify right side
    65,482x = 19,462,482,064
  5. Step 5: Solve for x
    x = 19,462,482,064/65,482
  6. Step 6: Final answer
    x = 297,218.81

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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.