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Finding the Third Proportional to 94,084 and 201,107

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Solution

The third proportional to 94,084 and 201,107 is: 429,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,084 : 201,107 = 201,107 : x
  2. Step 2: Convert to fraction form
    94,084/201,107 = 201,107/x
  3. Step 3: Cross multiply
    94,084x = 201,107 × 201,107
  4. Step 4: Simplify right side
    94,084x = 40,444,025,449
  5. Step 5: Solve for x
    x = 40,444,025,449/94,084
  6. Step 6: Final answer
    x = 429,871.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.