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Finding the Third Proportional to 94,056 and 201,054

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Solution

The third proportional to 94,056 and 201,054 is: 429,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,056 : 201,054 = 201,054 : x
  2. Step 2: Convert to fraction form
    94,056/201,054 = 201,054/x
  3. Step 3: Cross multiply
    94,056x = 201,054 × 201,054
  4. Step 4: Simplify right side
    94,056x = 40,422,710,916
  5. Step 5: Solve for x
    x = 40,422,710,916/94,056
  6. Step 6: Final answer
    x = 429,772.80

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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.