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Finding the Third Proportional to 54,286 and 84,047

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Solution

The third proportional to 54,286 and 84,047 is: 130,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,286 : 84,047 = 84,047 : x
  2. Step 2: Convert to fraction form
    54,286/84,047 = 84,047/x
  3. Step 3: Cross multiply
    54,286x = 84,047 × 84,047
  4. Step 4: Simplify right side
    54,286x = 7,063,898,209
  5. Step 5: Solve for x
    x = 7,063,898,209/54,286
  6. Step 6: Final answer
    x = 130,123.76

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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.