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Finding the Third Proportional to 70,233.75 and 107,942.63

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Solution

The third proportional to 70,233.75 and 107,942.63 is: 165,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,233.75 : 107,942.63 = 107,942.63 : x
  2. Step 2: Convert to fraction form
    70,233.75/107,942.63 = 107,942.63/x
  3. Step 3: Cross multiply
    70,233.75x = 107,942.63 × 107,942.63
  4. Step 4: Simplify right side
    70,233.75x = 11,651,610,291.89
  5. Step 5: Solve for x
    x = 11,651,610,291.89/70,233.75
  6. Step 6: Final answer
    x = 165,897.60

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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.