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Finding the Third Proportional to 61,846 and 93,341

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Solution

The third proportional to 61,846 and 93,341 is: 140,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,846 : 93,341 = 93,341 : x
  2. Step 2: Convert to fraction form
    61,846/93,341 = 93,341/x
  3. Step 3: Cross multiply
    61,846x = 93,341 × 93,341
  4. Step 4: Simplify right side
    61,846x = 8,712,542,281
  5. Step 5: Solve for x
    x = 8,712,542,281/61,846
  6. Step 6: Final answer
    x = 140,874.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.