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Finding the Third Proportional to 49,134.75 and 75,592.13

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Solution

The third proportional to 49,134.75 and 75,592.13 is: 116,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,134.75 : 75,592.13 = 75,592.13 : x
  2. Step 2: Convert to fraction form
    49,134.75/75,592.13 = 75,592.13/x
  3. Step 3: Cross multiply
    49,134.75x = 75,592.13 × 75,592.13
  4. Step 4: Simplify right side
    49,134.75x = 5,714,169,362.02
  5. Step 5: Solve for x
    x = 5,714,169,362.02/49,134.75
  6. Step 6: Final answer
    x = 116,295.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.