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Finding the Third Proportional to 133,925 and 207,501

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Solution

The third proportional to 133,925 and 207,501 is: 321,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,925 : 207,501 = 207,501 : x
  2. Step 2: Convert to fraction form
    133,925/207,501 = 207,501/x
  3. Step 3: Cross multiply
    133,925x = 207,501 × 207,501
  4. Step 4: Simplify right side
    133,925x = 43,056,665,001
  5. Step 5: Solve for x
    x = 43,056,665,001/133,925
  6. Step 6: Final answer
    x = 321,498.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.