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Finding the Third Proportional to 106,969.50 and 160,120.50

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Solution

The third proportional to 106,969.50 and 160,120.50 is: 239,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,969.50 : 160,120.50 = 160,120.50 : x
  2. Step 2: Convert to fraction form
    106,969.50/160,120.50 = 160,120.50/x
  3. Step 3: Cross multiply
    106,969.50x = 160,120.50 × 160,120.50
  4. Step 4: Simplify right side
    106,969.50x = 25,638,574,520.25
  5. Step 5: Solve for x
    x = 25,638,574,520.25/106,969.50
  6. Step 6: Final answer
    x = 239,681.17

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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.