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Finding the Third Proportional to 53,491.64 and 112,950.70

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Solution

The third proportional to 53,491.64 and 112,950.70 is: 238,501.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,491.64 : 112,950.70 = 112,950.70 : x
  2. Step 2: Convert to fraction form
    53,491.64/112,950.70 = 112,950.70/x
  3. Step 3: Cross multiply
    53,491.64x = 112,950.70 × 112,950.70
  4. Step 4: Simplify right side
    53,491.64x = 12,757,861,336.43
  5. Step 5: Solve for x
    x = 12,757,861,336.43/53,491.64
  6. Step 6: Final answer
    x = 238,501.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.