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Finding the Third Proportional to 53,500 and 82,796

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Solution

The third proportional to 53,500 and 82,796 is: 128,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,500 : 82,796 = 82,796 : x
  2. Step 2: Convert to fraction form
    53,500/82,796 = 82,796/x
  3. Step 3: Cross multiply
    53,500x = 82,796 × 82,796
  4. Step 4: Simplify right side
    53,500x = 6,855,177,616
  5. Step 5: Solve for x
    x = 6,855,177,616/53,500
  6. Step 6: Final answer
    x = 128,134.16

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