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Finding the Third Proportional to 53,952 and 118,272

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Solution

The third proportional to 53,952 and 118,272 is: 259,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,952 : 118,272 = 118,272 : x
  2. Step 2: Convert to fraction form
    53,952/118,272 = 118,272/x
  3. Step 3: Cross multiply
    53,952x = 118,272 × 118,272
  4. Step 4: Simplify right side
    53,952x = 13,988,265,984
  5. Step 5: Solve for x
    x = 13,988,265,984/53,952
  6. Step 6: Final answer
    x = 259,272.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.