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Finding the Third Proportional to 94,271 and 195,106

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Solution

The third proportional to 94,271 and 195,106 is: 403,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,271 : 195,106 = 195,106 : x
  2. Step 2: Convert to fraction form
    94,271/195,106 = 195,106/x
  3. Step 3: Cross multiply
    94,271x = 195,106 × 195,106
  4. Step 4: Simplify right side
    94,271x = 38,066,351,236
  5. Step 5: Solve for x
    x = 38,066,351,236/94,271
  6. Step 6: Final answer
    x = 403,797.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.