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Finding the Third Proportional to 124,538 and 194,584

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Solution

The third proportional to 124,538 and 194,584 is: 304,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,538 : 194,584 = 194,584 : x
  2. Step 2: Convert to fraction form
    124,538/194,584 = 194,584/x
  3. Step 3: Cross multiply
    124,538x = 194,584 × 194,584
  4. Step 4: Simplify right side
    124,538x = 37,862,933,056
  5. Step 5: Solve for x
    x = 37,862,933,056/124,538
  6. Step 6: Final answer
    x = 304,027.15

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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.