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Finding the Third Proportional to 56,538 and 118,889

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Solution

The third proportional to 56,538 and 118,889 is: 250,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,538 : 118,889 = 118,889 : x
  2. Step 2: Convert to fraction form
    56,538/118,889 = 118,889/x
  3. Step 3: Cross multiply
    56,538x = 118,889 × 118,889
  4. Step 4: Simplify right side
    56,538x = 14,134,594,321
  5. Step 5: Solve for x
    x = 14,134,594,321/56,538
  6. Step 6: Final answer
    x = 250,001.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.