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Finding the Third Proportional to 71,050 and 94,789

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Solution

The third proportional to 71,050 and 94,789 is: 126,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,050 : 94,789 = 94,789 : x
  2. Step 2: Convert to fraction form
    71,050/94,789 = 94,789/x
  3. Step 3: Cross multiply
    71,050x = 94,789 × 94,789
  4. Step 4: Simplify right side
    71,050x = 8,984,954,521
  5. Step 5: Solve for x
    x = 8,984,954,521/71,050
  6. Step 6: Final answer
    x = 126,459.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.