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Finding the Third Proportional to 56,401.88 and 125,411.63

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Solution

The third proportional to 56,401.88 and 125,411.63 is: 278,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,401.88 : 125,411.63 = 125,411.63 : x
  2. Step 2: Convert to fraction form
    56,401.88/125,411.63 = 125,411.63/x
  3. Step 3: Cross multiply
    56,401.88x = 125,411.63 × 125,411.63
  4. Step 4: Simplify right side
    56,401.88x = 15,728,075,685.14
  5. Step 5: Solve for x
    x = 15,728,075,685.14/56,401.88
  6. Step 6: Final answer
    x = 278,857.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.