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Finding the Third Proportional to 52,920.84 and 113,120.30

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Solution

The third proportional to 52,920.84 and 113,120.30 is: 241,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,920.84 : 113,120.30 = 113,120.30 : x
  2. Step 2: Convert to fraction form
    52,920.84/113,120.30 = 113,120.30/x
  3. Step 3: Cross multiply
    52,920.84x = 113,120.30 × 113,120.30
  4. Step 4: Simplify right side
    52,920.84x = 12,796,201,565.09
  5. Step 5: Solve for x
    x = 12,796,201,565.09/52,920.84
  6. Step 6: Final answer
    x = 241,798.90

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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.