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Finding the Third Proportional to 94,588.25 and 141,062.25

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Solution

The third proportional to 94,588.25 and 141,062.25 is: 210,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,588.25 : 141,062.25 = 141,062.25 : x
  2. Step 2: Convert to fraction form
    94,588.25/141,062.25 = 141,062.25/x
  3. Step 3: Cross multiply
    94,588.25x = 141,062.25 × 141,062.25
  4. Step 4: Simplify right side
    94,588.25x = 19,898,558,375.06
  5. Step 5: Solve for x
    x = 19,898,558,375.06/94,588.25
  6. Step 6: Final answer
    x = 210,370.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.