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Finding the Third Proportional to 55,973 and 123,010

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Solution

The third proportional to 55,973 and 123,010 is: 270,334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,973 : 123,010 = 123,010 : x
  2. Step 2: Convert to fraction form
    55,973/123,010 = 123,010/x
  3. Step 3: Cross multiply
    55,973x = 123,010 × 123,010
  4. Step 4: Simplify right side
    55,973x = 15,131,460,100
  5. Step 5: Solve for x
    x = 15,131,460,100/55,973
  6. Step 6: Final answer
    x = 270,334.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.