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Finding the Third Proportional to 61,826 and 93,027

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Solution

The third proportional to 61,826 and 93,027 is: 139,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,826 : 93,027 = 93,027 : x
  2. Step 2: Convert to fraction form
    61,826/93,027 = 93,027/x
  3. Step 3: Cross multiply
    61,826x = 93,027 × 93,027
  4. Step 4: Simplify right side
    61,826x = 8,654,022,729
  5. Step 5: Solve for x
    x = 8,654,022,729/61,826
  6. Step 6: Final answer
    x = 139,973.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.