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Finding the Third Proportional to 92,009.25 and 139,394.25

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Solution

The third proportional to 92,009.25 and 139,394.25 is: 211,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,009.25 : 139,394.25 = 139,394.25 : x
  2. Step 2: Convert to fraction form
    92,009.25/139,394.25 = 139,394.25/x
  3. Step 3: Cross multiply
    92,009.25x = 139,394.25 × 139,394.25
  4. Step 4: Simplify right side
    92,009.25x = 19,430,756,933.06
  5. Step 5: Solve for x
    x = 19,430,756,933.06/92,009.25
  6. Step 6: Final answer
    x = 211,182.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.