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Finding the Third Proportional to 53,584 and 115,382

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Solution

The third proportional to 53,584 and 115,382 is: 248,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,584 : 115,382 = 115,382 : x
  2. Step 2: Convert to fraction form
    53,584/115,382 = 115,382/x
  3. Step 3: Cross multiply
    53,584x = 115,382 × 115,382
  4. Step 4: Simplify right side
    53,584x = 13,313,005,924
  5. Step 5: Solve for x
    x = 13,313,005,924/53,584
  6. Step 6: Final answer
    x = 248,451.14

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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.