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Finding the Third Proportional to 91,005 and 137,781

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Solution

The third proportional to 91,005 and 137,781 is: 208,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,005 : 137,781 = 137,781 : x
  2. Step 2: Convert to fraction form
    91,005/137,781 = 137,781/x
  3. Step 3: Cross multiply
    91,005x = 137,781 × 137,781
  4. Step 4: Simplify right side
    91,005x = 18,983,603,961
  5. Step 5: Solve for x
    x = 18,983,603,961/91,005
  6. Step 6: Final answer
    x = 208,599.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.