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Finding the Third Proportional to 71,954 and 112,639

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Solution

The third proportional to 71,954 and 112,639 is: 176,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,954 : 112,639 = 112,639 : x
  2. Step 2: Convert to fraction form
    71,954/112,639 = 112,639/x
  3. Step 3: Cross multiply
    71,954x = 112,639 × 112,639
  4. Step 4: Simplify right side
    71,954x = 12,687,544,321
  5. Step 5: Solve for x
    x = 12,687,544,321/71,954
  6. Step 6: Final answer
    x = 176,328.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.