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Finding the Third Proportional to 136,527.75 and 213,702.75

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Solution

The third proportional to 136,527.75 and 213,702.75 is: 334,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,527.75 : 213,702.75 = 213,702.75 : x
  2. Step 2: Convert to fraction form
    136,527.75/213,702.75 = 213,702.75/x
  3. Step 3: Cross multiply
    136,527.75x = 213,702.75 × 213,702.75
  4. Step 4: Simplify right side
    136,527.75x = 45,668,865,357.56
  5. Step 5: Solve for x
    x = 45,668,865,357.56/136,527.75
  6. Step 6: Final answer
    x = 334,502.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.