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Finding the Third Proportional to 90,612 and 139,958

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Solution

The third proportional to 90,612 and 139,958 is: 216,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,612 : 139,958 = 139,958 : x
  2. Step 2: Convert to fraction form
    90,612/139,958 = 139,958/x
  3. Step 3: Cross multiply
    90,612x = 139,958 × 139,958
  4. Step 4: Simplify right side
    90,612x = 19,588,241,764
  5. Step 5: Solve for x
    x = 19,588,241,764/90,612
  6. Step 6: Final answer
    x = 216,177.13

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.