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Finding the Third Proportional to 71,037 and 110,290

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Solution

The third proportional to 71,037 and 110,290 is: 171,233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,037 : 110,290 = 110,290 : x
  2. Step 2: Convert to fraction form
    71,037/110,290 = 110,290/x
  3. Step 3: Cross multiply
    71,037x = 110,290 × 110,290
  4. Step 4: Simplify right side
    71,037x = 12,163,884,100
  5. Step 5: Solve for x
    x = 12,163,884,100/71,037
  6. Step 6: Final answer
    x = 171,233.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.