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Finding the Third Proportional to 71,664 and 156,964

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Solution

The third proportional to 71,664 and 156,964 is: 343,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,664 : 156,964 = 156,964 : x
  2. Step 2: Convert to fraction form
    71,664/156,964 = 156,964/x
  3. Step 3: Cross multiply
    71,664x = 156,964 × 156,964
  4. Step 4: Simplify right side
    71,664x = 24,637,697,296
  5. Step 5: Solve for x
    x = 24,637,697,296/71,664
  6. Step 6: Final answer
    x = 343,794.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.