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Finding the Third Proportional to 71,214 and 110,706

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Solution

The third proportional to 71,214 and 110,706 is: 172,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,214 : 110,706 = 110,706 : x
  2. Step 2: Convert to fraction form
    71,214/110,706 = 110,706/x
  3. Step 3: Cross multiply
    71,214x = 110,706 × 110,706
  4. Step 4: Simplify right side
    71,214x = 12,255,818,436
  5. Step 5: Solve for x
    x = 12,255,818,436/71,214
  6. Step 6: Final answer
    x = 172,098.44

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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.