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Finding the Third Proportional to 90,981 and 162,274.50

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Solution

The third proportional to 90,981 and 162,274.50 is: 289,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,981 : 162,274.50 = 162,274.50 : x
  2. Step 2: Convert to fraction form
    90,981/162,274.50 = 162,274.50/x
  3. Step 3: Cross multiply
    90,981x = 162,274.50 × 162,274.50
  4. Step 4: Simplify right side
    90,981x = 26,333,013,350.25
  5. Step 5: Solve for x
    x = 26,333,013,350.25/90,981
  6. Step 6: Final answer
    x = 289,434.20

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.