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Finding the Third Proportional to 58,059 and 89,820

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Solution

The third proportional to 58,059 and 89,820 is: 138,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,059 : 89,820 = 89,820 : x
  2. Step 2: Convert to fraction form
    58,059/89,820 = 89,820/x
  3. Step 3: Cross multiply
    58,059x = 89,820 × 89,820
  4. Step 4: Simplify right side
    58,059x = 8,067,632,400
  5. Step 5: Solve for x
    x = 8,067,632,400/58,059
  6. Step 6: Final answer
    x = 138,955.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.