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Finding the Third Proportional to 71,929.50 and 108,894

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Solution

The third proportional to 71,929.50 and 108,894 is: 164,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,929.50 : 108,894 = 108,894 : x
  2. Step 2: Convert to fraction form
    71,929.50/108,894 = 108,894/x
  3. Step 3: Cross multiply
    71,929.50x = 108,894 × 108,894
  4. Step 4: Simplify right side
    71,929.50x = 11,857,903,236
  5. Step 5: Solve for x
    x = 11,857,903,236/71,929.50
  6. Step 6: Final answer
    x = 164,854.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.