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Finding the Third Proportional to 73,010.74 and 106,645.36

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Solution

The third proportional to 73,010.74 and 106,645.36 is: 155,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,010.74 : 106,645.36 = 106,645.36 : x
  2. Step 2: Convert to fraction form
    73,010.74/106,645.36 = 106,645.36/x
  3. Step 3: Cross multiply
    73,010.74x = 106,645.36 × 106,645.36
  4. Step 4: Simplify right side
    73,010.74x = 11,373,232,676.22
  5. Step 5: Solve for x
    x = 11,373,232,676.22/73,010.74
  6. Step 6: Final answer
    x = 155,774.79

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.