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Finding the Third Proportional to 54,652.88 and 119,431.13

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Solution

The third proportional to 54,652.88 and 119,431.13 is: 260,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,652.88 : 119,431.13 = 119,431.13 : x
  2. Step 2: Convert to fraction form
    54,652.88/119,431.13 = 119,431.13/x
  3. Step 3: Cross multiply
    54,652.88x = 119,431.13 × 119,431.13
  4. Step 4: Simplify right side
    54,652.88x = 14,263,793,618.77
  5. Step 5: Solve for x
    x = 14,263,793,618.77/54,652.88
  6. Step 6: Final answer
    x = 260,988.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.