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Finding the Third Proportional to 53,469 and 115,496

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Solution

The third proportional to 53,469 and 115,496 is: 249,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,469 : 115,496 = 115,496 : x
  2. Step 2: Convert to fraction form
    53,469/115,496 = 115,496/x
  3. Step 3: Cross multiply
    53,469x = 115,496 × 115,496
  4. Step 4: Simplify right side
    53,469x = 13,339,326,016
  5. Step 5: Solve for x
    x = 13,339,326,016/53,469
  6. Step 6: Final answer
    x = 249,477.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.