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Finding the Third Proportional to 53,898.94 and 117,235.69

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Solution

The third proportional to 53,898.94 and 117,235.69 is: 254,999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,898.94 : 117,235.69 = 117,235.69 : x
  2. Step 2: Convert to fraction form
    53,898.94/117,235.69 = 117,235.69/x
  3. Step 3: Cross multiply
    53,898.94x = 117,235.69 × 117,235.69
  4. Step 4: Simplify right side
    53,898.94x = 13,744,206,423.60
  5. Step 5: Solve for x
    x = 13,744,206,423.60/53,898.94
  6. Step 6: Final answer
    x = 254,999.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.