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Finding the Third Proportional to 59,496 and 89,250

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Solution

The third proportional to 59,496 and 89,250 is: 133,884.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,496 : 89,250 = 89,250 : x
  2. Step 2: Convert to fraction form
    59,496/89,250 = 89,250/x
  3. Step 3: Cross multiply
    59,496x = 89,250 × 89,250
  4. Step 4: Simplify right side
    59,496x = 7,965,562,500
  5. Step 5: Solve for x
    x = 7,965,562,500/59,496
  6. Step 6: Final answer
    x = 133,884.00

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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.