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Finding the Third Proportional to 57,495 and 125,677

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Solution

The third proportional to 57,495 and 125,677 is: 274,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,495 : 125,677 = 125,677 : x
  2. Step 2: Convert to fraction form
    57,495/125,677 = 125,677/x
  3. Step 3: Cross multiply
    57,495x = 125,677 × 125,677
  4. Step 4: Simplify right side
    57,495x = 15,794,708,329
  5. Step 5: Solve for x
    x = 15,794,708,329/57,495
  6. Step 6: Final answer
    x = 274,714.47

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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.