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Finding the Third Proportional to 56,026 and 86,747

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Solution

The third proportional to 56,026 and 86,747 is: 134,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,026 : 86,747 = 86,747 : x
  2. Step 2: Convert to fraction form
    56,026/86,747 = 86,747/x
  3. Step 3: Cross multiply
    56,026x = 86,747 × 86,747
  4. Step 4: Simplify right side
    56,026x = 7,525,042,009
  5. Step 5: Solve for x
    x = 7,525,042,009/56,026
  6. Step 6: Final answer
    x = 134,313.39

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Why These Related Problems?

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