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Finding the Third Proportional to 71,045 and 102,639

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Solution

The third proportional to 71,045 and 102,639 is: 148,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,045 : 102,639 = 102,639 : x
  2. Step 2: Convert to fraction form
    71,045/102,639 = 102,639/x
  3. Step 3: Cross multiply
    71,045x = 102,639 × 102,639
  4. Step 4: Simplify right side
    71,045x = 10,534,764,321
  5. Step 5: Solve for x
    x = 10,534,764,321/71,045
  6. Step 6: Final answer
    x = 148,282.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.