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Finding the Third Proportional to 71,005.50 and 106,688.25

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Solution

The third proportional to 71,005.50 and 106,688.25 is: 160,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,005.50 : 106,688.25 = 106,688.25 : x
  2. Step 2: Convert to fraction form
    71,005.50/106,688.25 = 106,688.25/x
  3. Step 3: Cross multiply
    71,005.50x = 106,688.25 × 106,688.25
  4. Step 4: Simplify right side
    71,005.50x = 11,382,382,688.06
  5. Step 5: Solve for x
    x = 11,382,382,688.06/71,005.50
  6. Step 6: Final answer
    x = 160,302.83

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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.