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Finding the Third Proportional to 53,048.25 and 115,934.63

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Solution

The third proportional to 53,048.25 and 115,934.63 is: 253,370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,048.25 : 115,934.63 = 115,934.63 : x
  2. Step 2: Convert to fraction form
    53,048.25/115,934.63 = 115,934.63/x
  3. Step 3: Cross multiply
    53,048.25x = 115,934.63 × 115,934.63
  4. Step 4: Simplify right side
    53,048.25x = 13,440,837,273.89
  5. Step 5: Solve for x
    x = 13,440,837,273.89/53,048.25
  6. Step 6: Final answer
    x = 253,370.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.