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Finding the Third Proportional to 53,645.75 and 115,472.50

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Solution

The third proportional to 53,645.75 and 115,472.50 is: 248,554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,645.75 : 115,472.50 = 115,472.50 : x
  2. Step 2: Convert to fraction form
    53,645.75/115,472.50 = 115,472.50/x
  3. Step 3: Cross multiply
    53,645.75x = 115,472.50 × 115,472.50
  4. Step 4: Simplify right side
    53,645.75x = 13,333,898,256.25
  5. Step 5: Solve for x
    x = 13,333,898,256.25/53,645.75
  6. Step 6: Final answer
    x = 248,554.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.