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Finding the Third Proportional to 49,108 and 76,146

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Solution

The third proportional to 49,108 and 76,146 is: 118,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,108 : 76,146 = 76,146 : x
  2. Step 2: Convert to fraction form
    49,108/76,146 = 76,146/x
  3. Step 3: Cross multiply
    49,108x = 76,146 × 76,146
  4. Step 4: Simplify right side
    49,108x = 5,798,213,316
  5. Step 5: Solve for x
    x = 5,798,213,316/49,108
  6. Step 6: Final answer
    x = 118,070.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.