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Finding the Third Proportional to 71,004 and 106,688

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Solution

The third proportional to 71,004 and 106,688 is: 160,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,004 : 106,688 = 106,688 : x
  2. Step 2: Convert to fraction form
    71,004/106,688 = 106,688/x
  3. Step 3: Cross multiply
    71,004x = 106,688 × 106,688
  4. Step 4: Simplify right side
    71,004x = 11,382,329,344
  5. Step 5: Solve for x
    x = 11,382,329,344/71,004
  6. Step 6: Final answer
    x = 160,305.47

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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.