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Finding the Third Proportional to 56,203.88 and 120,401.44

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Solution

The third proportional to 56,203.88 and 120,401.44 is: 257,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,203.88 : 120,401.44 = 120,401.44 : x
  2. Step 2: Convert to fraction form
    56,203.88/120,401.44 = 120,401.44/x
  3. Step 3: Cross multiply
    56,203.88x = 120,401.44 × 120,401.44
  4. Step 4: Simplify right side
    56,203.88x = 14,496,506,152.07
  5. Step 5: Solve for x
    x = 14,496,506,152.07/56,203.88
  6. Step 6: Final answer
    x = 257,927.17

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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.