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Finding the Third Proportional to 65,230 and 141,613

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Solution

The third proportional to 65,230 and 141,613 is: 307,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,230 : 141,613 = 141,613 : x
  2. Step 2: Convert to fraction form
    65,230/141,613 = 141,613/x
  3. Step 3: Cross multiply
    65,230x = 141,613 × 141,613
  4. Step 4: Simplify right side
    65,230x = 20,054,241,769
  5. Step 5: Solve for x
    x = 20,054,241,769/65,230
  6. Step 6: Final answer
    x = 307,438.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.