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Finding the Third Proportional to 48,684 and 75,174

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Solution

The third proportional to 48,684 and 75,174 is: 116,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,684 : 75,174 = 75,174 : x
  2. Step 2: Convert to fraction form
    48,684/75,174 = 75,174/x
  3. Step 3: Cross multiply
    48,684x = 75,174 × 75,174
  4. Step 4: Simplify right side
    48,684x = 5,651,130,276
  5. Step 5: Solve for x
    x = 5,651,130,276/48,684
  6. Step 6: Final answer
    x = 116,077.77

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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.