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Finding the Third Proportional to 54,056 and 72,772

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Solution

The third proportional to 54,056 and 72,772 is: 97,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,056 : 72,772 = 72,772 : x
  2. Step 2: Convert to fraction form
    54,056/72,772 = 72,772/x
  3. Step 3: Cross multiply
    54,056x = 72,772 × 72,772
  4. Step 4: Simplify right side
    54,056x = 5,295,763,984
  5. Step 5: Solve for x
    x = 5,295,763,984/54,056
  6. Step 6: Final answer
    x = 97,968.11

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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.