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Finding the Third Proportional to 49,160 and 75,173

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Solution

The third proportional to 49,160 and 75,173 is: 114,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,160 : 75,173 = 75,173 : x
  2. Step 2: Convert to fraction form
    49,160/75,173 = 75,173/x
  3. Step 3: Cross multiply
    49,160x = 75,173 × 75,173
  4. Step 4: Simplify right side
    49,160x = 5,650,979,929
  5. Step 5: Solve for x
    x = 5,650,979,929/49,160
  6. Step 6: Final answer
    x = 114,950.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.