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Finding the Third Proportional to 75,695.63 and 112,077.56

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Solution

The third proportional to 75,695.63 and 112,077.56 is: 165,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,695.63 : 112,077.56 = 112,077.56 : x
  2. Step 2: Convert to fraction form
    75,695.63/112,077.56 = 112,077.56/x
  3. Step 3: Cross multiply
    75,695.63x = 112,077.56 × 112,077.56
  4. Step 4: Simplify right side
    75,695.63x = 12,561,380,015.94
  5. Step 5: Solve for x
    x = 12,561,380,015.94/75,695.63
  6. Step 6: Final answer
    x = 165,945.92

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.