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Finding the Third Proportional to 123,045 and 190,011

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Solution

The third proportional to 123,045 and 190,011 is: 293,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,045 : 190,011 = 190,011 : x
  2. Step 2: Convert to fraction form
    123,045/190,011 = 190,011/x
  3. Step 3: Cross multiply
    123,045x = 190,011 × 190,011
  4. Step 4: Simplify right side
    123,045x = 36,104,180,121
  5. Step 5: Solve for x
    x = 36,104,180,121/123,045
  6. Step 6: Final answer
    x = 293,422.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.