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Finding the Third Proportional to 71,929.75 and 108,894.25

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Solution

The third proportional to 71,929.75 and 108,894.25 is: 164,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,929.75 : 108,894.25 = 108,894.25 : x
  2. Step 2: Convert to fraction form
    71,929.75/108,894.25 = 108,894.25/x
  3. Step 3: Cross multiply
    71,929.75x = 108,894.25 × 108,894.25
  4. Step 4: Simplify right side
    71,929.75x = 11,857,957,683.06
  5. Step 5: Solve for x
    x = 11,857,957,683.06/71,929.75
  6. Step 6: Final answer
    x = 164,854.70

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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.