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Finding the Third Proportional to 51,536.13 and 111,884.88

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Solution

The third proportional to 51,536.13 and 111,884.88 is: 242,901.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,536.13 : 111,884.88 = 111,884.88 : x
  2. Step 2: Convert to fraction form
    51,536.13/111,884.88 = 111,884.88/x
  3. Step 3: Cross multiply
    51,536.13x = 111,884.88 × 111,884.88
  4. Step 4: Simplify right side
    51,536.13x = 12,518,225,253.77
  5. Step 5: Solve for x
    x = 12,518,225,253.77/51,536.13
  6. Step 6: Final answer
    x = 242,901.95

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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.