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Finding the Third Proportional to 65,457 and 141,360.75

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Solution

The third proportional to 65,457 and 141,360.75 is: 305,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,457 : 141,360.75 = 141,360.75 : x
  2. Step 2: Convert to fraction form
    65,457/141,360.75 = 141,360.75/x
  3. Step 3: Cross multiply
    65,457x = 141,360.75 × 141,360.75
  4. Step 4: Simplify right side
    65,457x = 19,982,861,640.56
  5. Step 5: Solve for x
    x = 19,982,861,640.56/65,457
  6. Step 6: Final answer
    x = 305,282.27

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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.