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Finding the Third Proportional to 54,261 and 84,008.50

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Solution

The third proportional to 54,261 and 84,008.50 is: 130,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,261 : 84,008.50 = 84,008.50 : x
  2. Step 2: Convert to fraction form
    54,261/84,008.50 = 84,008.50/x
  3. Step 3: Cross multiply
    54,261x = 84,008.50 × 84,008.50
  4. Step 4: Simplify right side
    54,261x = 7,057,428,072.25
  5. Step 5: Solve for x
    x = 7,057,428,072.25/54,261
  6. Step 6: Final answer
    x = 130,064.47

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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.