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Finding the Third Proportional to 53,952 and 110,044

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Solution

The third proportional to 53,952 and 110,044 is: 224,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,952 : 110,044 = 110,044 : x
  2. Step 2: Convert to fraction form
    53,952/110,044 = 110,044/x
  3. Step 3: Cross multiply
    53,952x = 110,044 × 110,044
  4. Step 4: Simplify right side
    53,952x = 12,109,681,936
  5. Step 5: Solve for x
    x = 12,109,681,936/53,952
  6. Step 6: Final answer
    x = 224,452.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.