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Finding the Third Proportional to 55,242.50 and 120,329

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Solution

The third proportional to 55,242.50 and 120,329 is: 262,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,242.50 : 120,329 = 120,329 : x
  2. Step 2: Convert to fraction form
    55,242.50/120,329 = 120,329/x
  3. Step 3: Cross multiply
    55,242.50x = 120,329 × 120,329
  4. Step 4: Simplify right side
    55,242.50x = 14,479,068,241
  5. Step 5: Solve for x
    x = 14,479,068,241/55,242.50
  6. Step 6: Final answer
    x = 262,100.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.