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Finding the Third Proportional to 65,342.44 and 141,748.88

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Solution

The third proportional to 65,342.44 and 141,748.88 is: 307,499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,342.44 : 141,748.88 = 141,748.88 : x
  2. Step 2: Convert to fraction form
    65,342.44/141,748.88 = 141,748.88/x
  3. Step 3: Cross multiply
    65,342.44x = 141,748.88 × 141,748.88
  4. Step 4: Simplify right side
    65,342.44x = 20,092,743,563.77
  5. Step 5: Solve for x
    x = 20,092,743,563.77/65,342.44
  6. Step 6: Final answer
    x = 307,499.14

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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.