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Finding the Third Proportional to 121,840.88 and 188,292.94

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Solution

The third proportional to 121,840.88 and 188,292.94 is: 290,987.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,840.88 : 188,292.94 = 188,292.94 : x
  2. Step 2: Convert to fraction form
    121,840.88/188,292.94 = 188,292.94/x
  3. Step 3: Cross multiply
    121,840.88x = 188,292.94 × 188,292.94
  4. Step 4: Simplify right side
    121,840.88x = 35,454,230,312.38
  5. Step 5: Solve for x
    x = 35,454,230,312.38/121,840.88
  6. Step 6: Final answer
    x = 290,987.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.