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Finding the Third Proportional to 94,085 and 201,118

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Solution

The third proportional to 94,085 and 201,118 is: 429,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,085 : 201,118 = 201,118 : x
  2. Step 2: Convert to fraction form
    94,085/201,118 = 201,118/x
  3. Step 3: Cross multiply
    94,085x = 201,118 × 201,118
  4. Step 4: Simplify right side
    94,085x = 40,448,449,924
  5. Step 5: Solve for x
    x = 40,448,449,924/94,085
  6. Step 6: Final answer
    x = 429,913.91

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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.