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Finding the Third Proportional to 55,980 and 84,510

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Solution

The third proportional to 55,980 and 84,510 is: 127,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,980 : 84,510 = 84,510 : x
  2. Step 2: Convert to fraction form
    55,980/84,510 = 84,510/x
  3. Step 3: Cross multiply
    55,980x = 84,510 × 84,510
  4. Step 4: Simplify right side
    55,980x = 7,141,940,100
  5. Step 5: Solve for x
    x = 7,141,940,100/55,980
  6. Step 6: Final answer
    x = 127,580.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.