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Finding the Third Proportional to 53,524 and 81,718

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Solution

The third proportional to 53,524 and 81,718 is: 124,763.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,524 : 81,718 = 81,718 : x
  2. Step 2: Convert to fraction form
    53,524/81,718 = 81,718/x
  3. Step 3: Cross multiply
    53,524x = 81,718 × 81,718
  4. Step 4: Simplify right side
    53,524x = 6,677,831,524
  5. Step 5: Solve for x
    x = 6,677,831,524/53,524
  6. Step 6: Final answer
    x = 124,763.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.