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Finding the Third Proportional to 74,055.94 and 105,826.50

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Solution

The third proportional to 74,055.94 and 105,826.50 is: 151,226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,055.94 : 105,826.50 = 105,826.50 : x
  2. Step 2: Convert to fraction form
    74,055.94/105,826.50 = 105,826.50/x
  3. Step 3: Cross multiply
    74,055.94x = 105,826.50 × 105,826.50
  4. Step 4: Simplify right side
    74,055.94x = 11,199,248,102.25
  5. Step 5: Solve for x
    x = 11,199,248,102.25/74,055.94
  6. Step 6: Final answer
    x = 151,226.88

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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.