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Finding the Third Proportional to 52,958 and 81,786

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Solution

The third proportional to 52,958 and 81,786 is: 126,306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,958 : 81,786 = 81,786 : x
  2. Step 2: Convert to fraction form
    52,958/81,786 = 81,786/x
  3. Step 3: Cross multiply
    52,958x = 81,786 × 81,786
  4. Step 4: Simplify right side
    52,958x = 6,688,949,796
  5. Step 5: Solve for x
    x = 6,688,949,796/52,958
  6. Step 6: Final answer
    x = 126,306.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.