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Finding the Third Proportional to 71,570 and 94,630

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Solution

The third proportional to 71,570 and 94,630 is: 125,119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,570 : 94,630 = 94,630 : x
  2. Step 2: Convert to fraction form
    71,570/94,630 = 94,630/x
  3. Step 3: Cross multiply
    71,570x = 94,630 × 94,630
  4. Step 4: Simplify right side
    71,570x = 8,954,836,900
  5. Step 5: Solve for x
    x = 8,954,836,900/71,570
  6. Step 6: Final answer
    x = 125,119.98

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.