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Finding the Third Proportional to 134,926 and 194,928

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Solution

The third proportional to 134,926 and 194,928 is: 281,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,926 : 194,928 = 194,928 : x
  2. Step 2: Convert to fraction form
    134,926/194,928 = 194,928/x
  3. Step 3: Cross multiply
    134,926x = 194,928 × 194,928
  4. Step 4: Simplify right side
    134,926x = 37,996,925,184
  5. Step 5: Solve for x
    x = 37,996,925,184/134,926
  6. Step 6: Final answer
    x = 281,613.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.