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Finding the Third Proportional to 56,525 and 122,769

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Solution

The third proportional to 56,525 and 122,769 is: 266,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,525 : 122,769 = 122,769 : x
  2. Step 2: Convert to fraction form
    56,525/122,769 = 122,769/x
  3. Step 3: Cross multiply
    56,525x = 122,769 × 122,769
  4. Step 4: Simplify right side
    56,525x = 15,072,227,361
  5. Step 5: Solve for x
    x = 15,072,227,361/56,525
  6. Step 6: Final answer
    x = 266,647.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.