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Finding the Third Proportional to 59,391 and 89,164.50

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Solution

The third proportional to 59,391 and 89,164.50 is: 133,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,391 : 89,164.50 = 89,164.50 : x
  2. Step 2: Convert to fraction form
    59,391/89,164.50 = 89,164.50/x
  3. Step 3: Cross multiply
    59,391x = 89,164.50 × 89,164.50
  4. Step 4: Simplify right side
    59,391x = 7,950,308,060.25
  5. Step 5: Solve for x
    x = 7,950,308,060.25/59,391
  6. Step 6: Final answer
    x = 133,863.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.