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Finding the Third Proportional to 91,950 and 140,597

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Solution

The third proportional to 91,950 and 140,597 is: 214,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,950 : 140,597 = 140,597 : x
  2. Step 2: Convert to fraction form
    91,950/140,597 = 140,597/x
  3. Step 3: Cross multiply
    91,950x = 140,597 × 140,597
  4. Step 4: Simplify right side
    91,950x = 19,767,516,409
  5. Step 5: Solve for x
    x = 19,767,516,409/91,950
  6. Step 6: Final answer
    x = 214,981.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.