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Finding the Third Proportional to 70,957.69 and 106,732.69

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Solution

The third proportional to 70,957.69 and 106,732.69 is: 160,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,957.69 : 106,732.69 = 106,732.69 : x
  2. Step 2: Convert to fraction form
    70,957.69/106,732.69 = 106,732.69/x
  3. Step 3: Cross multiply
    70,957.69x = 106,732.69 × 106,732.69
  4. Step 4: Simplify right side
    70,957.69x = 11,391,866,580.97
  5. Step 5: Solve for x
    x = 11,391,866,580.97/70,957.69
  6. Step 6: Final answer
    x = 160,544.50

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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.