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Finding the Third Proportional to 58,673 and 84,079

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Solution

The third proportional to 58,673 and 84,079 is: 120,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,673 : 84,079 = 84,079 : x
  2. Step 2: Convert to fraction form
    58,673/84,079 = 84,079/x
  3. Step 3: Cross multiply
    58,673x = 84,079 × 84,079
  4. Step 4: Simplify right side
    58,673x = 7,069,278,241
  5. Step 5: Solve for x
    x = 7,069,278,241/58,673
  6. Step 6: Final answer
    x = 120,486.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.