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Finding the Third Proportional to 91,835 and 201,274

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Solution

The third proportional to 91,835 and 201,274 is: 441,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,835 : 201,274 = 201,274 : x
  2. Step 2: Convert to fraction form
    91,835/201,274 = 201,274/x
  3. Step 3: Cross multiply
    91,835x = 201,274 × 201,274
  4. Step 4: Simplify right side
    91,835x = 40,511,223,076
  5. Step 5: Solve for x
    x = 40,511,223,076/91,835
  6. Step 6: Final answer
    x = 441,130.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.