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Finding the Third Proportional to 53,018.50 and 81,988

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Solution

The third proportional to 53,018.50 and 81,988 is: 126,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,018.50 : 81,988 = 81,988 : x
  2. Step 2: Convert to fraction form
    53,018.50/81,988 = 81,988/x
  3. Step 3: Cross multiply
    53,018.50x = 81,988 × 81,988
  4. Step 4: Simplify right side
    53,018.50x = 6,722,032,144
  5. Step 5: Solve for x
    x = 6,722,032,144/53,018.50
  6. Step 6: Final answer
    x = 126,786.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.