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Finding the Third Proportional to 43,560 and 65,166

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Solution

The third proportional to 43,560 and 65,166 is: 97,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,560 : 65,166 = 65,166 : x
  2. Step 2: Convert to fraction form
    43,560/65,166 = 65,166/x
  3. Step 3: Cross multiply
    43,560x = 65,166 × 65,166
  4. Step 4: Simplify right side
    43,560x = 4,246,607,556
  5. Step 5: Solve for x
    x = 4,246,607,556/43,560
  6. Step 6: Final answer
    x = 97,488.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.