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Finding the Third Proportional to 124,533 and 194,576.25

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Solution

The third proportional to 124,533 and 194,576.25 is: 304,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,533 : 194,576.25 = 194,576.25 : x
  2. Step 2: Convert to fraction form
    124,533/194,576.25 = 194,576.25/x
  3. Step 3: Cross multiply
    124,533x = 194,576.25 × 194,576.25
  4. Step 4: Simplify right side
    124,533x = 37,859,917,064.06
  5. Step 5: Solve for x
    x = 37,859,917,064.06/124,533
  6. Step 6: Final answer
    x = 304,015.14

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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.