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Finding the Third Proportional to 80,151.75 and 124,602.75

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Solution

The third proportional to 80,151.75 and 124,602.75 is: 193,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,151.75 : 124,602.75 = 124,602.75 : x
  2. Step 2: Convert to fraction form
    80,151.75/124,602.75 = 124,602.75/x
  3. Step 3: Cross multiply
    80,151.75x = 124,602.75 × 124,602.75
  4. Step 4: Simplify right side
    80,151.75x = 15,525,845,307.56
  5. Step 5: Solve for x
    x = 15,525,845,307.56/80,151.75
  6. Step 6: Final answer
    x = 193,705.63

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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.