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Finding the Third Proportional to 56,676 and 124,125.50

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Solution

The third proportional to 56,676 and 124,125.50 is: 271,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,676 : 124,125.50 = 124,125.50 : x
  2. Step 2: Convert to fraction form
    56,676/124,125.50 = 124,125.50/x
  3. Step 3: Cross multiply
    56,676x = 124,125.50 × 124,125.50
  4. Step 4: Simplify right side
    56,676x = 15,407,139,750.25
  5. Step 5: Solve for x
    x = 15,407,139,750.25/56,676
  6. Step 6: Final answer
    x = 271,845.93

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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.