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Finding the Third Proportional to 61,695 and 127,773

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Solution

The third proportional to 61,695 and 127,773 is: 264,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,695 : 127,773 = 127,773 : x
  2. Step 2: Convert to fraction form
    61,695/127,773 = 127,773/x
  3. Step 3: Cross multiply
    61,695x = 127,773 × 127,773
  4. Step 4: Simplify right side
    61,695x = 16,325,939,529
  5. Step 5: Solve for x
    x = 16,325,939,529/61,695
  6. Step 6: Final answer
    x = 264,623.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.