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Finding the Third Proportional to 59,817 and 89,361

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Solution

The third proportional to 59,817 and 89,361 is: 133,496.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,817 : 89,361 = 89,361 : x
  2. Step 2: Convert to fraction form
    59,817/89,361 = 89,361/x
  3. Step 3: Cross multiply
    59,817x = 89,361 × 89,361
  4. Step 4: Simplify right side
    59,817x = 7,985,388,321
  5. Step 5: Solve for x
    x = 7,985,388,321/59,817
  6. Step 6: Final answer
    x = 133,496.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.