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Finding the Third Proportional to 92,961 and 139,653.50

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Solution

The third proportional to 92,961 and 139,653.50 is: 209,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,961 : 139,653.50 = 139,653.50 : x
  2. Step 2: Convert to fraction form
    92,961/139,653.50 = 139,653.50/x
  3. Step 3: Cross multiply
    92,961x = 139,653.50 × 139,653.50
  4. Step 4: Simplify right side
    92,961x = 19,503,100,062.25
  5. Step 5: Solve for x
    x = 19,503,100,062.25/92,961
  6. Step 6: Final answer
    x = 209,798.73

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