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Finding the Third Proportional to 121,290.50 and 183,626.50

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Solution

The third proportional to 121,290.50 and 183,626.50 is: 277,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,290.50 : 183,626.50 = 183,626.50 : x
  2. Step 2: Convert to fraction form
    121,290.50/183,626.50 = 183,626.50/x
  3. Step 3: Cross multiply
    121,290.50x = 183,626.50 × 183,626.50
  4. Step 4: Simplify right side
    121,290.50x = 33,718,691,502.25
  5. Step 5: Solve for x
    x = 33,718,691,502.25/121,290.50
  6. Step 6: Final answer
    x = 277,999.44

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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.