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Finding the Third Proportional to 61,747 and 134,910

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Solution

The third proportional to 61,747 and 134,910 is: 294,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,747 : 134,910 = 134,910 : x
  2. Step 2: Convert to fraction form
    61,747/134,910 = 134,910/x
  3. Step 3: Cross multiply
    61,747x = 134,910 × 134,910
  4. Step 4: Simplify right side
    61,747x = 18,200,708,100
  5. Step 5: Solve for x
    x = 18,200,708,100/61,747
  6. Step 6: Final answer
    x = 294,762.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.