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Finding the Third Proportional to 51,975.42 and 95,852.11

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Solution

The third proportional to 51,975.42 and 95,852.11 is: 176,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,975.42 : 95,852.11 = 95,852.11 : x
  2. Step 2: Convert to fraction form
    51,975.42/95,852.11 = 95,852.11/x
  3. Step 3: Cross multiply
    51,975.42x = 95,852.11 × 95,852.11
  4. Step 4: Simplify right side
    51,975.42x = 9,187,626,871.64
  5. Step 5: Solve for x
    x = 9,187,626,871.64/51,975.42
  6. Step 6: Final answer
    x = 176,768.68

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.