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Finding the Third Proportional to 54,433 and 84,111

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Solution

The third proportional to 54,433 and 84,111 is: 129,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,433 : 84,111 = 84,111 : x
  2. Step 2: Convert to fraction form
    54,433/84,111 = 84,111/x
  3. Step 3: Cross multiply
    54,433x = 84,111 × 84,111
  4. Step 4: Simplify right side
    54,433x = 7,074,660,321
  5. Step 5: Solve for x
    x = 7,074,660,321/54,433
  6. Step 6: Final answer
    x = 129,970.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.