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Finding the Third Proportional to 81,295.88 and 125,113.50

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Solution

The third proportional to 81,295.88 and 125,113.50 is: 192,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,295.88 : 125,113.50 = 125,113.50 : x
  2. Step 2: Convert to fraction form
    81,295.88/125,113.50 = 125,113.50/x
  3. Step 3: Cross multiply
    81,295.88x = 125,113.50 × 125,113.50
  4. Step 4: Simplify right side
    81,295.88x = 15,653,387,882.25
  5. Step 5: Solve for x
    x = 15,653,387,882.25/81,295.88
  6. Step 6: Final answer
    x = 192,548.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.