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Finding the Third Proportional to 88,288.31 and 113,364.56

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Solution

The third proportional to 88,288.31 and 113,364.56 is: 145,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,288.31 : 113,364.56 = 113,364.56 : x
  2. Step 2: Convert to fraction form
    88,288.31/113,364.56 = 113,364.56/x
  3. Step 3: Cross multiply
    88,288.31x = 113,364.56 × 113,364.56
  4. Step 4: Simplify right side
    88,288.31x = 12,851,524,030.82
  5. Step 5: Solve for x
    x = 12,851,524,030.82/88,288.31
  6. Step 6: Final answer
    x = 145,563.14

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.