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Finding the Third Proportional to 59,904 and 90,600

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Solution

The third proportional to 59,904 and 90,600 is: 137,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,904 : 90,600 = 90,600 : x
  2. Step 2: Convert to fraction form
    59,904/90,600 = 90,600/x
  3. Step 3: Cross multiply
    59,904x = 90,600 × 90,600
  4. Step 4: Simplify right side
    59,904x = 8,208,360,000
  5. Step 5: Solve for x
    x = 8,208,360,000/59,904
  6. Step 6: Final answer
    x = 137,025.24

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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.