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Finding the Third Proportional to 59,454.75 and 87,049

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Solution

The third proportional to 59,454.75 and 87,049 is: 127,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,454.75 : 87,049 = 87,049 : x
  2. Step 2: Convert to fraction form
    59,454.75/87,049 = 87,049/x
  3. Step 3: Cross multiply
    59,454.75x = 87,049 × 87,049
  4. Step 4: Simplify right side
    59,454.75x = 7,577,528,401
  5. Step 5: Solve for x
    x = 7,577,528,401/59,454.75
  6. Step 6: Final answer
    x = 127,450.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.