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Finding the Third Proportional to 65,725 and 141,799

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Solution

The third proportional to 65,725 and 141,799 is: 305,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,725 : 141,799 = 141,799 : x
  2. Step 2: Convert to fraction form
    65,725/141,799 = 141,799/x
  3. Step 3: Cross multiply
    65,725x = 141,799 × 141,799
  4. Step 4: Simplify right side
    65,725x = 20,106,956,401
  5. Step 5: Solve for x
    x = 20,106,956,401/65,725
  6. Step 6: Final answer
    x = 305,925.54

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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.