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Finding the Third Proportional to 52,125.75 and 111,632.63

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Solution

The third proportional to 52,125.75 and 111,632.63 is: 239,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,125.75 : 111,632.63 = 111,632.63 : x
  2. Step 2: Convert to fraction form
    52,125.75/111,632.63 = 111,632.63/x
  3. Step 3: Cross multiply
    52,125.75x = 111,632.63 × 111,632.63
  4. Step 4: Simplify right side
    52,125.75x = 12,461,842,964.39
  5. Step 5: Solve for x
    x = 12,461,842,964.39/52,125.75
  6. Step 6: Final answer
    x = 239,072.68

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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.