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Finding the Third Proportional to 61,846 and 134,732

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Solution

The third proportional to 61,846 and 134,732 is: 293,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,846 : 134,732 = 134,732 : x
  2. Step 2: Convert to fraction form
    61,846/134,732 = 134,732/x
  3. Step 3: Cross multiply
    61,846x = 134,732 × 134,732
  4. Step 4: Simplify right side
    61,846x = 18,152,711,824
  5. Step 5: Solve for x
    x = 18,152,711,824/61,846
  6. Step 6: Final answer
    x = 293,514.73

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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.