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Finding the Third Proportional to 57,311 and 122,001.50

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Solution

The third proportional to 57,311 and 122,001.50 is: 259,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,311 : 122,001.50 = 122,001.50 : x
  2. Step 2: Convert to fraction form
    57,311/122,001.50 = 122,001.50/x
  3. Step 3: Cross multiply
    57,311x = 122,001.50 × 122,001.50
  4. Step 4: Simplify right side
    57,311x = 14,884,366,002.25
  5. Step 5: Solve for x
    x = 14,884,366,002.25/57,311
  6. Step 6: Final answer
    x = 259,712.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.