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Finding the Third Proportional to 53,487 and 115,443

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Solution

The third proportional to 53,487 and 115,443 is: 249,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,487 : 115,443 = 115,443 : x
  2. Step 2: Convert to fraction form
    53,487/115,443 = 115,443/x
  3. Step 3: Cross multiply
    53,487x = 115,443 × 115,443
  4. Step 4: Simplify right side
    53,487x = 13,327,086,249
  5. Step 5: Solve for x
    x = 13,327,086,249/53,487
  6. Step 6: Final answer
    x = 249,164.96

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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.