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Finding the Third Proportional to 55,636.50 and 123,712

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Solution

The third proportional to 55,636.50 and 123,712 is: 275,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,636.50 : 123,712 = 123,712 : x
  2. Step 2: Convert to fraction form
    55,636.50/123,712 = 123,712/x
  3. Step 3: Cross multiply
    55,636.50x = 123,712 × 123,712
  4. Step 4: Simplify right side
    55,636.50x = 15,304,658,944
  5. Step 5: Solve for x
    x = 15,304,658,944/55,636.50
  6. Step 6: Final answer
    x = 275,083.06

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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.