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Finding the Third Proportional to 56,114 and 122,786

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Solution

The third proportional to 56,114 and 122,786 is: 268,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,114 : 122,786 = 122,786 : x
  2. Step 2: Convert to fraction form
    56,114/122,786 = 122,786/x
  3. Step 3: Cross multiply
    56,114x = 122,786 × 122,786
  4. Step 4: Simplify right side
    56,114x = 15,076,401,796
  5. Step 5: Solve for x
    x = 15,076,401,796/56,114
  6. Step 6: Final answer
    x = 268,674.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.