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Finding the Third Proportional to 53,204.77 and 111,337.45

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Solution

The third proportional to 53,204.77 and 111,337.45 is: 232,987.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204.77 : 111,337.45 = 111,337.45 : x
  2. Step 2: Convert to fraction form
    53,204.77/111,337.45 = 111,337.45/x
  3. Step 3: Cross multiply
    53,204.77x = 111,337.45 × 111,337.45
  4. Step 4: Simplify right side
    53,204.77x = 12,396,028,468.36
  5. Step 5: Solve for x
    x = 12,396,028,468.36/53,204.77
  6. Step 6: Final answer
    x = 232,987.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.