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Finding the Third Proportional to 61,856 and 93,357

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Solution

The third proportional to 61,856 and 93,357 is: 140,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,856 : 93,357 = 93,357 : x
  2. Step 2: Convert to fraction form
    61,856/93,357 = 93,357/x
  3. Step 3: Cross multiply
    61,856x = 93,357 × 93,357
  4. Step 4: Simplify right side
    61,856x = 8,715,529,449
  5. Step 5: Solve for x
    x = 8,715,529,449/61,856
  6. Step 6: Final answer
    x = 140,900.31

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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.