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Finding the Third Proportional to 53,104.36 and 112,359.66

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Solution

The third proportional to 53,104.36 and 112,359.66 is: 237,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,104.36 : 112,359.66 = 112,359.66 : x
  2. Step 2: Convert to fraction form
    53,104.36/112,359.66 = 112,359.66/x
  3. Step 3: Cross multiply
    53,104.36x = 112,359.66 × 112,359.66
  4. Step 4: Simplify right side
    53,104.36x = 12,624,692,352.62
  5. Step 5: Solve for x
    x = 12,624,692,352.62/53,104.36
  6. Step 6: Final answer
    x = 237,733.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.