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Finding the Third Proportional to 48,029 and 77,170

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Solution

The third proportional to 48,029 and 77,170 is: 123,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,029 : 77,170 = 77,170 : x
  2. Step 2: Convert to fraction form
    48,029/77,170 = 77,170/x
  3. Step 3: Cross multiply
    48,029x = 77,170 × 77,170
  4. Step 4: Simplify right side
    48,029x = 5,955,208,900
  5. Step 5: Solve for x
    x = 5,955,208,900/48,029
  6. Step 6: Final answer
    x = 123,991.94

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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.