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Finding the Third Proportional to 106,384.50 and 159,973.88

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Solution

The third proportional to 106,384.50 and 159,973.88 is: 240,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,384.50 : 159,973.88 = 159,973.88 : x
  2. Step 2: Convert to fraction form
    106,384.50/159,973.88 = 159,973.88/x
  3. Step 3: Cross multiply
    106,384.50x = 159,973.88 × 159,973.88
  4. Step 4: Simplify right side
    106,384.50x = 25,591,640,682.52
  5. Step 5: Solve for x
    x = 25,591,640,682.52/106,384.50
  6. Step 6: Final answer
    x = 240,557.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.