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Finding the Third Proportional to 71,520 and 105,093

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Solution

The third proportional to 71,520 and 105,093 is: 154,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,520 : 105,093 = 105,093 : x
  2. Step 2: Convert to fraction form
    71,520/105,093 = 105,093/x
  3. Step 3: Cross multiply
    71,520x = 105,093 × 105,093
  4. Step 4: Simplify right side
    71,520x = 11,044,538,649
  5. Step 5: Solve for x
    x = 11,044,538,649/71,520
  6. Step 6: Final answer
    x = 154,425.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.