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Finding the Third Proportional to 113,369.63 and 176,947.03

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Solution

The third proportional to 113,369.63 and 176,947.03 is: 276,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,369.63 : 176,947.03 = 176,947.03 : x
  2. Step 2: Convert to fraction form
    113,369.63/176,947.03 = 176,947.03/x
  3. Step 3: Cross multiply
    113,369.63x = 176,947.03 × 176,947.03
  4. Step 4: Simplify right side
    113,369.63x = 31,310,251,868.19
  5. Step 5: Solve for x
    x = 31,310,251,868.19/113,369.63
  6. Step 6: Final answer
    x = 276,178.49

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.