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Finding the Third Proportional to 82,866.80 and 131,425.03

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Solution

The third proportional to 82,866.80 and 131,425.03 is: 208,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,866.80 : 131,425.03 = 131,425.03 : x
  2. Step 2: Convert to fraction form
    82,866.80/131,425.03 = 131,425.03/x
  3. Step 3: Cross multiply
    82,866.80x = 131,425.03 × 131,425.03
  4. Step 4: Simplify right side
    82,866.80x = 17,272,538,839.06
  5. Step 5: Solve for x
    x = 17,272,538,839.06/82,866.80
  6. Step 6: Final answer
    x = 208,437.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.