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Finding the Third Proportional to 54,526.92 and 84,222.28

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Solution

The third proportional to 54,526.92 and 84,222.28 is: 130,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,526.92 : 84,222.28 = 84,222.28 : x
  2. Step 2: Convert to fraction form
    54,526.92/84,222.28 = 84,222.28/x
  3. Step 3: Cross multiply
    54,526.92x = 84,222.28 × 84,222.28
  4. Step 4: Simplify right side
    54,526.92x = 7,093,392,658.95
  5. Step 5: Solve for x
    x = 7,093,392,658.95/54,526.92
  6. Step 6: Final answer
    x = 130,089.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.