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Finding the Third Proportional to 42,616 and 61,250

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Solution

The third proportional to 42,616 and 61,250 is: 88,031.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,616 : 61,250 = 61,250 : x
  2. Step 2: Convert to fraction form
    42,616/61,250 = 61,250/x
  3. Step 3: Cross multiply
    42,616x = 61,250 × 61,250
  4. Step 4: Simplify right side
    42,616x = 3,751,562,500
  5. Step 5: Solve for x
    x = 3,751,562,500/42,616
  6. Step 6: Final answer
    x = 88,031.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.