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Finding the Third Proportional to 50,185.13 and 75,702.94

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Solution

The third proportional to 50,185.13 and 75,702.94 is: 114,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,185.13 : 75,702.94 = 75,702.94 : x
  2. Step 2: Convert to fraction form
    50,185.13/75,702.94 = 75,702.94/x
  3. Step 3: Cross multiply
    50,185.13x = 75,702.94 × 75,702.94
  4. Step 4: Simplify right side
    50,185.13x = 5,730,934,746.13
  5. Step 5: Solve for x
    x = 5,730,934,746.13/50,185.13
  6. Step 6: Final answer
    x = 114,195.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.