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Finding the Third Proportional to 56,328.75 and 120,653.44

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Solution

The third proportional to 56,328.75 and 120,653.44 is: 258,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,328.75 : 120,653.44 = 120,653.44 : x
  2. Step 2: Convert to fraction form
    56,328.75/120,653.44 = 120,653.44/x
  3. Step 3: Cross multiply
    56,328.75x = 120,653.44 × 120,653.44
  4. Step 4: Simplify right side
    56,328.75x = 14,557,251,980.57
  5. Step 5: Solve for x
    x = 14,557,251,980.57/56,328.75
  6. Step 6: Final answer
    x = 258,433.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.