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Finding the Third Proportional to 59,754 and 90,093

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Solution

The third proportional to 59,754 and 90,093 is: 135,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,754 : 90,093 = 90,093 : x
  2. Step 2: Convert to fraction form
    59,754/90,093 = 90,093/x
  3. Step 3: Cross multiply
    59,754x = 90,093 × 90,093
  4. Step 4: Simplify right side
    59,754x = 8,116,748,649
  5. Step 5: Solve for x
    x = 8,116,748,649/59,754
  6. Step 6: Final answer
    x = 135,836.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.