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Finding the Third Proportional to 51,840 and 124,962.75

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Solution

The third proportional to 51,840 and 124,962.75 is: 301,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840 : 124,962.75 = 124,962.75 : x
  2. Step 2: Convert to fraction form
    51,840/124,962.75 = 124,962.75/x
  3. Step 3: Cross multiply
    51,840x = 124,962.75 × 124,962.75
  4. Step 4: Simplify right side
    51,840x = 15,615,688,887.56
  5. Step 5: Solve for x
    x = 15,615,688,887.56/51,840
  6. Step 6: Final answer
    x = 301,228.57

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.