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Finding the Third Proportional to 122,239.50 and 194,507

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Solution

The third proportional to 122,239.50 and 194,507 is: 309,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,239.50 : 194,507 = 194,507 : x
  2. Step 2: Convert to fraction form
    122,239.50/194,507 = 194,507/x
  3. Step 3: Cross multiply
    122,239.50x = 194,507 × 194,507
  4. Step 4: Simplify right side
    122,239.50x = 37,832,973,049
  5. Step 5: Solve for x
    x = 37,832,973,049/122,239.50
  6. Step 6: Final answer
    x = 309,498.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.