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Finding the Third Proportional to 140,703.75 and 201,062.25

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Solution

The third proportional to 140,703.75 and 201,062.25 is: 287,313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,703.75 : 201,062.25 = 201,062.25 : x
  2. Step 2: Convert to fraction form
    140,703.75/201,062.25 = 201,062.25/x
  3. Step 3: Cross multiply
    140,703.75x = 201,062.25 × 201,062.25
  4. Step 4: Simplify right side
    140,703.75x = 40,426,028,375.06
  5. Step 5: Solve for x
    x = 40,426,028,375.06/140,703.75
  6. Step 6: Final answer
    x = 287,313.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.