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Finding the Third Proportional to 58,445.44 and 127,825.31

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Solution

The third proportional to 58,445.44 and 127,825.31 is: 279,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,445.44 : 127,825.31 = 127,825.31 : x
  2. Step 2: Convert to fraction form
    58,445.44/127,825.31 = 127,825.31/x
  3. Step 3: Cross multiply
    58,445.44x = 127,825.31 × 127,825.31
  4. Step 4: Simplify right side
    58,445.44x = 16,339,310,515.72
  5. Step 5: Solve for x
    x = 16,339,310,515.72/58,445.44
  6. Step 6: Final answer
    x = 279,565.20

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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.