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Finding the Third Proportional to 56,925 and 97,811

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Solution

The third proportional to 56,925 and 97,811 is: 168,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,925 : 97,811 = 97,811 : x
  2. Step 2: Convert to fraction form
    56,925/97,811 = 97,811/x
  3. Step 3: Cross multiply
    56,925x = 97,811 × 97,811
  4. Step 4: Simplify right side
    56,925x = 9,566,991,721
  5. Step 5: Solve for x
    x = 9,566,991,721/56,925
  6. Step 6: Final answer
    x = 168,063.10

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.