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Finding the Third Proportional to 91,702.13 and 140,288.84

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Solution

The third proportional to 91,702.13 and 140,288.84 is: 214,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,702.13 : 140,288.84 = 140,288.84 : x
  2. Step 2: Convert to fraction form
    91,702.13/140,288.84 = 140,288.84/x
  3. Step 3: Cross multiply
    91,702.13x = 140,288.84 × 140,288.84
  4. Step 4: Simplify right side
    91,702.13x = 19,680,957,488.70
  5. Step 5: Solve for x
    x = 19,680,957,488.70/91,702.13
  6. Step 6: Final answer
    x = 214,618.34

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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.