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Finding the Third Proportional to 58,929.40 and 127,201.96

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Solution

The third proportional to 58,929.40 and 127,201.96 is: 274,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,929.40 : 127,201.96 = 127,201.96 : x
  2. Step 2: Convert to fraction form
    58,929.40/127,201.96 = 127,201.96/x
  3. Step 3: Cross multiply
    58,929.40x = 127,201.96 × 127,201.96
  4. Step 4: Simplify right side
    58,929.40x = 16,180,337,872.58
  5. Step 5: Solve for x
    x = 16,180,337,872.58/58,929.40
  6. Step 6: Final answer
    x = 274,571.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.