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Finding the Third Proportional to 53,256 and 115,320

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Solution

The third proportional to 53,256 and 115,320 is: 249,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,256 : 115,320 = 115,320 : x
  2. Step 2: Convert to fraction form
    53,256/115,320 = 115,320/x
  3. Step 3: Cross multiply
    53,256x = 115,320 × 115,320
  4. Step 4: Simplify right side
    53,256x = 13,298,702,400
  5. Step 5: Solve for x
    x = 13,298,702,400/53,256
  6. Step 6: Final answer
    x = 249,712.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.