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Finding the Third Proportional to 120,534.75 and 181,895.63

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Solution

The third proportional to 120,534.75 and 181,895.63 is: 274,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,534.75 : 181,895.63 = 181,895.63 : x
  2. Step 2: Convert to fraction form
    120,534.75/181,895.63 = 181,895.63/x
  3. Step 3: Cross multiply
    120,534.75x = 181,895.63 × 181,895.63
  4. Step 4: Simplify right side
    120,534.75x = 33,086,018,394.14
  5. Step 5: Solve for x
    x = 33,086,018,394.14/120,534.75
  6. Step 6: Final answer
    x = 274,493.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.