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Finding the Third Proportional to 59,133.25 and 91,814.25

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Solution

The third proportional to 59,133.25 and 91,814.25 is: 142,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,133.25 : 91,814.25 = 91,814.25 : x
  2. Step 2: Convert to fraction form
    59,133.25/91,814.25 = 91,814.25/x
  3. Step 3: Cross multiply
    59,133.25x = 91,814.25 × 91,814.25
  4. Step 4: Simplify right side
    59,133.25x = 8,429,856,503.06
  5. Step 5: Solve for x
    x = 8,429,856,503.06/59,133.25
  6. Step 6: Final answer
    x = 142,556.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.