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Finding the Third Proportional to 122,757 and 194,076

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Solution

The third proportional to 122,757 and 194,076 is: 306,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,757 : 194,076 = 194,076 : x
  2. Step 2: Convert to fraction form
    122,757/194,076 = 194,076/x
  3. Step 3: Cross multiply
    122,757x = 194,076 × 194,076
  4. Step 4: Simplify right side
    122,757x = 37,665,493,776
  5. Step 5: Solve for x
    x = 37,665,493,776/122,757
  6. Step 6: Final answer
    x = 306,829.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.