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Finding the Third Proportional to 53,880 and 115,536

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Solution

The third proportional to 53,880 and 115,536 is: 247,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,880 : 115,536 = 115,536 : x
  2. Step 2: Convert to fraction form
    53,880/115,536 = 115,536/x
  3. Step 3: Cross multiply
    53,880x = 115,536 × 115,536
  4. Step 4: Simplify right side
    53,880x = 13,348,567,296
  5. Step 5: Solve for x
    x = 13,348,567,296/53,880
  6. Step 6: Final answer
    x = 247,746.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.