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Finding the Third Proportional to 141,608.25 and 151,313.06

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Solution

The third proportional to 141,608.25 and 151,313.06 is: 161,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,608.25 : 151,313.06 = 151,313.06 : x
  2. Step 2: Convert to fraction form
    141,608.25/151,313.06 = 151,313.06/x
  3. Step 3: Cross multiply
    141,608.25x = 151,313.06 × 151,313.06
  4. Step 4: Simplify right side
    141,608.25x = 22,895,642,883.13
  5. Step 5: Solve for x
    x = 22,895,642,883.13/141,608.25
  6. Step 6: Final answer
    x = 161,682.97

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.