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Finding the Third Proportional to 54,006 and 72,704

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Solution

The third proportional to 54,006 and 72,704 is: 97,875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,006 : 72,704 = 72,704 : x
  2. Step 2: Convert to fraction form
    54,006/72,704 = 72,704/x
  3. Step 3: Cross multiply
    54,006x = 72,704 × 72,704
  4. Step 4: Simplify right side
    54,006x = 5,285,871,616
  5. Step 5: Solve for x
    x = 5,285,871,616/54,006
  6. Step 6: Final answer
    x = 97,875.64

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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.