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Finding the Third Proportional to 55,417.97 and 120,096.94

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Solution

The third proportional to 55,417.97 and 120,096.94 is: 260,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,417.97 : 120,096.94 = 120,096.94 : x
  2. Step 2: Convert to fraction form
    55,417.97/120,096.94 = 120,096.94/x
  3. Step 3: Cross multiply
    55,417.97x = 120,096.94 × 120,096.94
  4. Step 4: Simplify right side
    55,417.97x = 14,423,274,396.88
  5. Step 5: Solve for x
    x = 14,423,274,396.88/55,417.97
  6. Step 6: Final answer
    x = 260,263.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.