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Finding the Third Proportional to 53,872 and 115,072

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Solution

The third proportional to 53,872 and 115,072 is: 245,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,872 : 115,072 = 115,072 : x
  2. Step 2: Convert to fraction form
    53,872/115,072 = 115,072/x
  3. Step 3: Cross multiply
    53,872x = 115,072 × 115,072
  4. Step 4: Simplify right side
    53,872x = 13,241,565,184
  5. Step 5: Solve for x
    x = 13,241,565,184/53,872
  6. Step 6: Final answer
    x = 245,796.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.