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Finding the Third Proportional to 61,980 and 93,555

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Solution

The third proportional to 61,980 and 93,555 is: 141,215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,980 : 93,555 = 93,555 : x
  2. Step 2: Convert to fraction form
    61,980/93,555 = 93,555/x
  3. Step 3: Cross multiply
    61,980x = 93,555 × 93,555
  4. Step 4: Simplify right side
    61,980x = 8,752,538,025
  5. Step 5: Solve for x
    x = 8,752,538,025/61,980
  6. Step 6: Final answer
    x = 141,215.52

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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.