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Finding the Third Proportional to 53,540 and 114,488

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Solution

The third proportional to 53,540 and 114,488 is: 244,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,540 : 114,488 = 114,488 : x
  2. Step 2: Convert to fraction form
    53,540/114,488 = 114,488/x
  3. Step 3: Cross multiply
    53,540x = 114,488 × 114,488
  4. Step 4: Simplify right side
    53,540x = 13,107,502,144
  5. Step 5: Solve for x
    x = 13,107,502,144/53,540
  6. Step 6: Final answer
    x = 244,817.00

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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.