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Finding the Third Proportional to 53,425.50 and 83,052.56

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Solution

The third proportional to 53,425.50 and 83,052.56 is: 129,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,425.50 : 83,052.56 = 83,052.56 : x
  2. Step 2: Convert to fraction form
    53,425.50/83,052.56 = 83,052.56/x
  3. Step 3: Cross multiply
    53,425.50x = 83,052.56 × 83,052.56
  4. Step 4: Simplify right side
    53,425.50x = 6,897,728,137.82
  5. Step 5: Solve for x
    x = 6,897,728,137.82/53,425.50
  6. Step 6: Final answer
    x = 129,109.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.