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Finding the Third Proportional to 53,040 and 120,948

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Solution

The third proportional to 53,040 and 120,948 is: 275,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,040 : 120,948 = 120,948 : x
  2. Step 2: Convert to fraction form
    53,040/120,948 = 120,948/x
  3. Step 3: Cross multiply
    53,040x = 120,948 × 120,948
  4. Step 4: Simplify right side
    53,040x = 14,628,418,704
  5. Step 5: Solve for x
    x = 14,628,418,704/53,040
  6. Step 6: Final answer
    x = 275,799.75

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.