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Finding the Third Proportional to 54,621.84 and 117,095.63

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Solution

The third proportional to 54,621.84 and 117,095.63 is: 251,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,621.84 : 117,095.63 = 117,095.63 : x
  2. Step 2: Convert to fraction form
    54,621.84/117,095.63 = 117,095.63/x
  3. Step 3: Cross multiply
    54,621.84x = 117,095.63 × 117,095.63
  4. Step 4: Simplify right side
    54,621.84x = 13,711,385,394.14
  5. Step 5: Solve for x
    x = 13,711,385,394.14/54,621.84
  6. Step 6: Final answer
    x = 251,023.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.