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Finding the Third Proportional to 51,532.50 and 109,383

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Solution

The third proportional to 51,532.50 and 109,383 is: 232,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,532.50 : 109,383 = 109,383 : x
  2. Step 2: Convert to fraction form
    51,532.50/109,383 = 109,383/x
  3. Step 3: Cross multiply
    51,532.50x = 109,383 × 109,383
  4. Step 4: Simplify right side
    51,532.50x = 11,964,640,689
  5. Step 5: Solve for x
    x = 11,964,640,689/51,532.50
  6. Step 6: Final answer
    x = 232,176.60

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.