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Finding the Third Proportional to 123,048 and 189,765

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Solution

The third proportional to 123,048 and 189,765 is: 292,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,048 : 189,765 = 189,765 : x
  2. Step 2: Convert to fraction form
    123,048/189,765 = 189,765/x
  3. Step 3: Cross multiply
    123,048x = 189,765 × 189,765
  4. Step 4: Simplify right side
    123,048x = 36,010,755,225
  5. Step 5: Solve for x
    x = 36,010,755,225/123,048
  6. Step 6: Final answer
    x = 292,656.16

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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.