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Finding the Third Proportional to 91,116 and 137,934

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Solution

The third proportional to 91,116 and 137,934 is: 208,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,116 : 137,934 = 137,934 : x
  2. Step 2: Convert to fraction form
    91,116/137,934 = 137,934/x
  3. Step 3: Cross multiply
    91,116x = 137,934 × 137,934
  4. Step 4: Simplify right side
    91,116x = 19,025,788,356
  5. Step 5: Solve for x
    x = 19,025,788,356/91,116
  6. Step 6: Final answer
    x = 208,808.42

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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.