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Finding the Third Proportional to 47,610 and 90,900

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Solution

The third proportional to 47,610 and 90,900 is: 173,551.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,610 : 90,900 = 90,900 : x
  2. Step 2: Convert to fraction form
    47,610/90,900 = 90,900/x
  3. Step 3: Cross multiply
    47,610x = 90,900 × 90,900
  4. Step 4: Simplify right side
    47,610x = 8,262,810,000
  5. Step 5: Solve for x
    x = 8,262,810,000/47,610
  6. Step 6: Final answer
    x = 173,551.98

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.