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Finding the Third Proportional to 58,461.75 and 125,938.75

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Solution

The third proportional to 58,461.75 and 125,938.75 is: 271,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,461.75 : 125,938.75 = 125,938.75 : x
  2. Step 2: Convert to fraction form
    58,461.75/125,938.75 = 125,938.75/x
  3. Step 3: Cross multiply
    58,461.75x = 125,938.75 × 125,938.75
  4. Step 4: Simplify right side
    58,461.75x = 15,860,568,751.56
  5. Step 5: Solve for x
    x = 15,860,568,751.56/58,461.75
  6. Step 6: Final answer
    x = 271,298.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.