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Finding the Third Proportional to 58,671 and 84,075

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Solution

The third proportional to 58,671 and 84,075 is: 120,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,671 : 84,075 = 84,075 : x
  2. Step 2: Convert to fraction form
    58,671/84,075 = 84,075/x
  3. Step 3: Cross multiply
    58,671x = 84,075 × 84,075
  4. Step 4: Simplify right side
    58,671x = 7,068,605,625
  5. Step 5: Solve for x
    x = 7,068,605,625/58,671
  6. Step 6: Final answer
    x = 120,478.70

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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.