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Finding the Third Proportional to 52,712.44 and 111,538.69

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Solution

The third proportional to 52,712.44 and 111,538.69 is: 236,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,712.44 : 111,538.69 = 111,538.69 : x
  2. Step 2: Convert to fraction form
    52,712.44/111,538.69 = 111,538.69/x
  3. Step 3: Cross multiply
    52,712.44x = 111,538.69 × 111,538.69
  4. Step 4: Simplify right side
    52,712.44x = 12,440,878,809.22
  5. Step 5: Solve for x
    x = 12,440,878,809.22/52,712.44
  6. Step 6: Final answer
    x = 236,014.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.