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Finding the Third Proportional to 65,453.06 and 141,350.06

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Solution

The third proportional to 65,453.06 and 141,350.06 is: 305,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,453.06 : 141,350.06 = 141,350.06 : x
  2. Step 2: Convert to fraction form
    65,453.06/141,350.06 = 141,350.06/x
  3. Step 3: Cross multiply
    65,453.06x = 141,350.06 × 141,350.06
  4. Step 4: Simplify right side
    65,453.06x = 19,979,840,168.75
  5. Step 5: Solve for x
    x = 19,979,840,168.75/65,453.06
  6. Step 6: Final answer
    x = 305,254.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.