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Finding the Third Proportional to 59,230 and 91,045

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Solution

The third proportional to 59,230 and 91,045 is: 139,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,230 : 91,045 = 91,045 : x
  2. Step 2: Convert to fraction form
    59,230/91,045 = 91,045/x
  3. Step 3: Cross multiply
    59,230x = 91,045 × 91,045
  4. Step 4: Simplify right side
    59,230x = 8,289,192,025
  5. Step 5: Solve for x
    x = 8,289,192,025/59,230
  6. Step 6: Final answer
    x = 139,949.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.