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Finding the Third Proportional to 51,537 and 108,610

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Solution

The third proportional to 51,537 and 108,610 is: 228,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,537 : 108,610 = 108,610 : x
  2. Step 2: Convert to fraction form
    51,537/108,610 = 108,610/x
  3. Step 3: Cross multiply
    51,537x = 108,610 × 108,610
  4. Step 4: Simplify right side
    51,537x = 11,796,132,100
  5. Step 5: Solve for x
    x = 11,796,132,100/51,537
  6. Step 6: Final answer
    x = 228,886.67

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.