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Finding the Third Proportional to 54,555 and 74,056

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Solution

The third proportional to 54,555 and 74,056 is: 100,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,555 : 74,056 = 74,056 : x
  2. Step 2: Convert to fraction form
    54,555/74,056 = 74,056/x
  3. Step 3: Cross multiply
    54,555x = 74,056 × 74,056
  4. Step 4: Simplify right side
    54,555x = 5,484,291,136
  5. Step 5: Solve for x
    x = 5,484,291,136/54,555
  6. Step 6: Final answer
    x = 100,527.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.