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Finding the Third Proportional to 67,688 and 156,004

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Solution

The third proportional to 67,688 and 156,004 is: 359,550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,688 : 156,004 = 156,004 : x
  2. Step 2: Convert to fraction form
    67,688/156,004 = 156,004/x
  3. Step 3: Cross multiply
    67,688x = 156,004 × 156,004
  4. Step 4: Simplify right side
    67,688x = 24,337,248,016
  5. Step 5: Solve for x
    x = 24,337,248,016/67,688
  6. Step 6: Final answer
    x = 359,550.41

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.