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Finding the Third Proportional to 55,635.50 and 123,710

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Solution

The third proportional to 55,635.50 and 123,710 is: 275,079.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,635.50 : 123,710 = 123,710 : x
  2. Step 2: Convert to fraction form
    55,635.50/123,710 = 123,710/x
  3. Step 3: Cross multiply
    55,635.50x = 123,710 × 123,710
  4. Step 4: Simplify right side
    55,635.50x = 15,304,164,100
  5. Step 5: Solve for x
    x = 15,304,164,100/55,635.50
  6. Step 6: Final answer
    x = 275,079.11

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.