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Finding the Third Proportional to 65,556 and 140,459.06

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Solution

The third proportional to 65,556 and 140,459.06 is: 300,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,556 : 140,459.06 = 140,459.06 : x
  2. Step 2: Convert to fraction form
    65,556/140,459.06 = 140,459.06/x
  3. Step 3: Cross multiply
    65,556x = 140,459.06 × 140,459.06
  4. Step 4: Simplify right side
    65,556x = 19,728,748,238.38
  5. Step 5: Solve for x
    x = 19,728,748,238.38/65,556
  6. Step 6: Final answer
    x = 300,944.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.