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Finding the Third Proportional to 58,786 and 84,030

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Solution

The third proportional to 58,786 and 84,030 is: 120,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,786 : 84,030 = 84,030 : x
  2. Step 2: Convert to fraction form
    58,786/84,030 = 84,030/x
  3. Step 3: Cross multiply
    58,786x = 84,030 × 84,030
  4. Step 4: Simplify right side
    58,786x = 7,061,040,900
  5. Step 5: Solve for x
    x = 7,061,040,900/58,786
  6. Step 6: Final answer
    x = 120,114.33

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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.