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Finding the Third Proportional to 48,032 and 77,174

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Solution

The third proportional to 48,032 and 77,174 is: 123,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,032 : 77,174 = 77,174 : x
  2. Step 2: Convert to fraction form
    48,032/77,174 = 77,174/x
  3. Step 3: Cross multiply
    48,032x = 77,174 × 77,174
  4. Step 4: Simplify right side
    48,032x = 5,955,826,276
  5. Step 5: Solve for x
    x = 5,955,826,276/48,032
  6. Step 6: Final answer
    x = 123,997.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.