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Finding the Third Proportional to 53,424 and 115,412

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Solution

The third proportional to 53,424 and 115,412 is: 249,324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,424 : 115,412 = 115,412 : x
  2. Step 2: Convert to fraction form
    53,424/115,412 = 115,412/x
  3. Step 3: Cross multiply
    53,424x = 115,412 × 115,412
  4. Step 4: Simplify right side
    53,424x = 13,319,929,744
  5. Step 5: Solve for x
    x = 13,319,929,744/53,424
  6. Step 6: Final answer
    x = 249,324.83

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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.