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Finding the Third Proportional to 124,266.56 and 194,396.06

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Solution

The third proportional to 124,266.56 and 194,396.06 is: 304,102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,266.56 : 194,396.06 = 194,396.06 : x
  2. Step 2: Convert to fraction form
    124,266.56/194,396.06 = 194,396.06/x
  3. Step 3: Cross multiply
    124,266.56x = 194,396.06 × 194,396.06
  4. Step 4: Simplify right side
    124,266.56x = 37,789,829,115.50
  5. Step 5: Solve for x
    x = 37,789,829,115.50/124,266.56
  6. Step 6: Final answer
    x = 304,102.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.