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Finding the Third Proportional to 55,823.63 and 120,394.13

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Solution

The third proportional to 55,823.63 and 120,394.13 is: 259,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,823.63 : 120,394.13 = 120,394.13 : x
  2. Step 2: Convert to fraction form
    55,823.63/120,394.13 = 120,394.13/x
  3. Step 3: Cross multiply
    55,823.63x = 120,394.13 × 120,394.13
  4. Step 4: Simplify right side
    55,823.63x = 14,494,745,334.52
  5. Step 5: Solve for x
    x = 14,494,745,334.52/55,823.63
  6. Step 6: Final answer
    x = 259,652.53

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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.