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Finding the Third Proportional to 53,127 and 82,908

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Solution

The third proportional to 53,127 and 82,908 is: 129,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,127 : 82,908 = 82,908 : x
  2. Step 2: Convert to fraction form
    53,127/82,908 = 82,908/x
  3. Step 3: Cross multiply
    53,127x = 82,908 × 82,908
  4. Step 4: Simplify right side
    53,127x = 6,873,736,464
  5. Step 5: Solve for x
    x = 6,873,736,464/53,127
  6. Step 6: Final answer
    x = 129,383.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.