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Finding the Third Proportional to 74,023.88 and 105,499.97

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Solution

The third proportional to 74,023.88 and 105,499.97 is: 150,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,023.88 : 105,499.97 = 105,499.97 : x
  2. Step 2: Convert to fraction form
    74,023.88/105,499.97 = 105,499.97/x
  3. Step 3: Cross multiply
    74,023.88x = 105,499.97 × 105,499.97
  4. Step 4: Simplify right side
    74,023.88x = 11,130,243,406.25
  5. Step 5: Solve for x
    x = 11,130,243,406.25/74,023.88
  6. Step 6: Final answer
    x = 150,360.18

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