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Finding the Third Proportional to 54,521 and 73,645

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Solution

The third proportional to 54,521 and 73,645 is: 99,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,521 : 73,645 = 73,645 : x
  2. Step 2: Convert to fraction form
    54,521/73,645 = 73,645/x
  3. Step 3: Cross multiply
    54,521x = 73,645 × 73,645
  4. Step 4: Simplify right side
    54,521x = 5,423,586,025
  5. Step 5: Solve for x
    x = 5,423,586,025/54,521
  6. Step 6: Final answer
    x = 99,477.01

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.