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Finding the Third Proportional to 51,501 and 108,537

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Solution

The third proportional to 51,501 and 108,537 is: 228,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,501 : 108,537 = 108,537 : x
  2. Step 2: Convert to fraction form
    51,501/108,537 = 108,537/x
  3. Step 3: Cross multiply
    51,501x = 108,537 × 108,537
  4. Step 4: Simplify right side
    51,501x = 11,780,280,369
  5. Step 5: Solve for x
    x = 11,780,280,369/51,501
  6. Step 6: Final answer
    x = 228,738.87

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Why These Related Problems?

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