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Finding the Third Proportional to 61,394 and 134,500

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Solution

The third proportional to 61,394 and 134,500 is: 294,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,394 : 134,500 = 134,500 : x
  2. Step 2: Convert to fraction form
    61,394/134,500 = 134,500/x
  3. Step 3: Cross multiply
    61,394x = 134,500 × 134,500
  4. Step 4: Simplify right side
    61,394x = 18,090,250,000
  5. Step 5: Solve for x
    x = 18,090,250,000/61,394
  6. Step 6: Final answer
    x = 294,658.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.