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Finding the Third Proportional to 65,556 and 141,820

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Solution

The third proportional to 65,556 and 141,820 is: 306,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,556 : 141,820 = 141,820 : x
  2. Step 2: Convert to fraction form
    65,556/141,820 = 141,820/x
  3. Step 3: Cross multiply
    65,556x = 141,820 × 141,820
  4. Step 4: Simplify right side
    65,556x = 20,112,912,400
  5. Step 5: Solve for x
    x = 20,112,912,400/65,556
  6. Step 6: Final answer
    x = 306,805.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.