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Finding the Third Proportional to 124,254.56 and 194,378.06

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Solution

The third proportional to 124,254.56 and 194,378.06 is: 304,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,254.56 : 194,378.06 = 194,378.06 : x
  2. Step 2: Convert to fraction form
    124,254.56/194,378.06 = 194,378.06/x
  3. Step 3: Cross multiply
    124,254.56x = 194,378.06 × 194,378.06
  4. Step 4: Simplify right side
    124,254.56x = 37,782,831,181.25
  5. Step 5: Solve for x
    x = 37,782,831,181.25/124,254.56
  6. Step 6: Final answer
    x = 304,076.01

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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.