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Finding the Third Proportional to 53,604 and 120,867.75

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Solution

The third proportional to 53,604 and 120,867.75 is: 272,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,604 : 120,867.75 = 120,867.75 : x
  2. Step 2: Convert to fraction form
    53,604/120,867.75 = 120,867.75/x
  3. Step 3: Cross multiply
    53,604x = 120,867.75 × 120,867.75
  4. Step 4: Simplify right side
    53,604x = 14,609,012,990.06
  5. Step 5: Solve for x
    x = 14,609,012,990.06/53,604
  6. Step 6: Final answer
    x = 272,535.87

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.