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Finding the Third Proportional to 55,718.30 and 120,521.67

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Solution

The third proportional to 55,718.30 and 120,521.67 is: 260,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,718.30 : 120,521.67 = 120,521.67 : x
  2. Step 2: Convert to fraction form
    55,718.30/120,521.67 = 120,521.67/x
  3. Step 3: Cross multiply
    55,718.30x = 120,521.67 × 120,521.67
  4. Step 4: Simplify right side
    55,718.30x = 14,525,473,391.55
  5. Step 5: Solve for x
    x = 14,525,473,391.55/55,718.30
  6. Step 6: Final answer
    x = 260,694.86

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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.