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Finding the Third Proportional to 56,226 and 87,747

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Solution

The third proportional to 56,226 and 87,747 is: 136,939.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,226 : 87,747 = 87,747 : x
  2. Step 2: Convert to fraction form
    56,226/87,747 = 87,747/x
  3. Step 3: Cross multiply
    56,226x = 87,747 × 87,747
  4. Step 4: Simplify right side
    56,226x = 7,699,536,009
  5. Step 5: Solve for x
    x = 7,699,536,009/56,226
  6. Step 6: Final answer
    x = 136,939.07

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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.