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Finding the Third Proportional to 111,702.38 and 156,254.06

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Solution

The third proportional to 111,702.38 and 156,254.06 is: 218,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,702.38 : 156,254.06 = 156,254.06 : x
  2. Step 2: Convert to fraction form
    111,702.38/156,254.06 = 156,254.06/x
  3. Step 3: Cross multiply
    111,702.38x = 156,254.06 × 156,254.06
  4. Step 4: Simplify right side
    111,702.38x = 24,415,332,047.75
  5. Step 5: Solve for x
    x = 24,415,332,047.75/111,702.38
  6. Step 6: Final answer
    x = 218,574.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.