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Finding the Third Proportional to 49,312 and 80,115

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Solution

The third proportional to 49,312 and 80,115 is: 130,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,312 : 80,115 = 80,115 : x
  2. Step 2: Convert to fraction form
    49,312/80,115 = 80,115/x
  3. Step 3: Cross multiply
    49,312x = 80,115 × 80,115
  4. Step 4: Simplify right side
    49,312x = 6,418,413,225
  5. Step 5: Solve for x
    x = 6,418,413,225/49,312
  6. Step 6: Final answer
    x = 130,159.26

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.