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Finding the Third Proportional to 71,385 and 111,030

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Solution

The third proportional to 71,385 and 111,030 is: 172,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,385 : 111,030 = 111,030 : x
  2. Step 2: Convert to fraction form
    71,385/111,030 = 111,030/x
  3. Step 3: Cross multiply
    71,385x = 111,030 × 111,030
  4. Step 4: Simplify right side
    71,385x = 12,327,660,900
  5. Step 5: Solve for x
    x = 12,327,660,900/71,385
  6. Step 6: Final answer
    x = 172,692.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.