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Finding the Third Proportional to 54,897.19 and 119,833.88

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Solution

The third proportional to 54,897.19 and 119,833.88 is: 261,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,897.19 : 119,833.88 = 119,833.88 : x
  2. Step 2: Convert to fraction form
    54,897.19/119,833.88 = 119,833.88/x
  3. Step 3: Cross multiply
    54,897.19x = 119,833.88 × 119,833.88
  4. Step 4: Simplify right side
    54,897.19x = 14,360,157,597.52
  5. Step 5: Solve for x
    x = 14,360,157,597.52/54,897.19
  6. Step 6: Final answer
    x = 261,582.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.