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Finding the Third Proportional to 65,148.75 and 141,333.75

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Solution

The third proportional to 65,148.75 and 141,333.75 is: 306,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,148.75 : 141,333.75 = 141,333.75 : x
  2. Step 2: Convert to fraction form
    65,148.75/141,333.75 = 141,333.75/x
  3. Step 3: Cross multiply
    65,148.75x = 141,333.75 × 141,333.75
  4. Step 4: Simplify right side
    65,148.75x = 19,975,228,889.06
  5. Step 5: Solve for x
    x = 19,975,228,889.06/65,148.75
  6. Step 6: Final answer
    x = 306,609.55

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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.