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Finding the Third Proportional to 113,488.50 and 164,886

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Solution

The third proportional to 113,488.50 and 164,886 is: 239,560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,488.50 : 164,886 = 164,886 : x
  2. Step 2: Convert to fraction form
    113,488.50/164,886 = 164,886/x
  3. Step 3: Cross multiply
    113,488.50x = 164,886 × 164,886
  4. Step 4: Simplify right side
    113,488.50x = 27,187,392,996
  5. Step 5: Solve for x
    x = 27,187,392,996/113,488.50
  6. Step 6: Final answer
    x = 239,560.77

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.