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Finding the Third Proportional to 65,739 and 144,654

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Solution

The third proportional to 65,739 and 144,654 is: 318,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,739 : 144,654 = 144,654 : x
  2. Step 2: Convert to fraction form
    65,739/144,654 = 144,654/x
  3. Step 3: Cross multiply
    65,739x = 144,654 × 144,654
  4. Step 4: Simplify right side
    65,739x = 20,924,779,716
  5. Step 5: Solve for x
    x = 20,924,779,716/65,739
  6. Step 6: Final answer
    x = 318,300.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.