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Finding the Third Proportional to 91,836 and 141,906

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Solution

The third proportional to 91,836 and 141,906 is: 219,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,836 : 141,906 = 141,906 : x
  2. Step 2: Convert to fraction form
    91,836/141,906 = 141,906/x
  3. Step 3: Cross multiply
    91,836x = 141,906 × 141,906
  4. Step 4: Simplify right side
    91,836x = 20,137,312,836
  5. Step 5: Solve for x
    x = 20,137,312,836/91,836
  6. Step 6: Final answer
    x = 219,274.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.