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Finding the Third Proportional to 74,052 and 105,819.75

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Solution

The third proportional to 74,052 and 105,819.75 is: 151,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,052 : 105,819.75 = 105,819.75 : x
  2. Step 2: Convert to fraction form
    74,052/105,819.75 = 105,819.75/x
  3. Step 3: Cross multiply
    74,052x = 105,819.75 × 105,819.75
  4. Step 4: Simplify right side
    74,052x = 11,197,819,490.06
  5. Step 5: Solve for x
    x = 11,197,819,490.06/74,052
  6. Step 6: Final answer
    x = 151,215.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.