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Finding the Third Proportional to 61,554 and 132,523.50

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Solution

The third proportional to 61,554 and 132,523.50 is: 285,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,554 : 132,523.50 = 132,523.50 : x
  2. Step 2: Convert to fraction form
    61,554/132,523.50 = 132,523.50/x
  3. Step 3: Cross multiply
    61,554x = 132,523.50 × 132,523.50
  4. Step 4: Simplify right side
    61,554x = 17,562,478,052.25
  5. Step 5: Solve for x
    x = 17,562,478,052.25/61,554
  6. Step 6: Final answer
    x = 285,318.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.