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Finding the Third Proportional to 59,052 and 89,671

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Solution

The third proportional to 59,052 and 89,671 is: 136,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,052 : 89,671 = 89,671 : x
  2. Step 2: Convert to fraction form
    59,052/89,671 = 89,671/x
  3. Step 3: Cross multiply
    59,052x = 89,671 × 89,671
  4. Step 4: Simplify right side
    59,052x = 8,040,888,241
  5. Step 5: Solve for x
    x = 8,040,888,241/59,052
  6. Step 6: Final answer
    x = 136,166.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.