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Finding the Third Proportional to 124,254.88 and 194,378.50

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Solution

The third proportional to 124,254.88 and 194,378.50 is: 304,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,254.88 : 194,378.50 = 194,378.50 : x
  2. Step 2: Convert to fraction form
    124,254.88/194,378.50 = 194,378.50/x
  3. Step 3: Cross multiply
    124,254.88x = 194,378.50 × 194,378.50
  4. Step 4: Simplify right side
    124,254.88x = 37,783,001,262.25
  5. Step 5: Solve for x
    x = 37,783,001,262.25/124,254.88
  6. Step 6: Final answer
    x = 304,076.61

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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.