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Finding the Third Proportional to 61,751 and 133,102

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Solution

The third proportional to 61,751 and 133,102 is: 286,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,751 : 133,102 = 133,102 : x
  2. Step 2: Convert to fraction form
    61,751/133,102 = 133,102/x
  3. Step 3: Cross multiply
    61,751x = 133,102 × 133,102
  4. Step 4: Simplify right side
    61,751x = 17,716,142,404
  5. Step 5: Solve for x
    x = 17,716,142,404/61,751
  6. Step 6: Final answer
    x = 286,896.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.