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Finding the Third Proportional to 54,426 and 83,250

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Solution

The third proportional to 54,426 and 83,250 is: 127,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,426 : 83,250 = 83,250 : x
  2. Step 2: Convert to fraction form
    54,426/83,250 = 83,250/x
  3. Step 3: Cross multiply
    54,426x = 83,250 × 83,250
  4. Step 4: Simplify right side
    54,426x = 6,930,562,500
  5. Step 5: Solve for x
    x = 6,930,562,500/54,426
  6. Step 6: Final answer
    x = 127,339.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.