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Finding the Third Proportional to 71,044 and 118,394

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Solution

The third proportional to 71,044 and 118,394 is: 197,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,044 : 118,394 = 118,394 : x
  2. Step 2: Convert to fraction form
    71,044/118,394 = 118,394/x
  3. Step 3: Cross multiply
    71,044x = 118,394 × 118,394
  4. Step 4: Simplify right side
    71,044x = 14,017,139,236
  5. Step 5: Solve for x
    x = 14,017,139,236/71,044
  6. Step 6: Final answer
    x = 197,302.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.