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Finding the Third Proportional to 56,184 and 123,100

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Solution

The third proportional to 56,184 and 123,100 is: 269,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,184 : 123,100 = 123,100 : x
  2. Step 2: Convert to fraction form
    56,184/123,100 = 123,100/x
  3. Step 3: Cross multiply
    56,184x = 123,100 × 123,100
  4. Step 4: Simplify right side
    56,184x = 15,153,610,000
  5. Step 5: Solve for x
    x = 15,153,610,000/56,184
  6. Step 6: Final answer
    x = 269,713.98

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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.