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Finding the Third Proportional to 101,060 and 207,948

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Solution

The third proportional to 101,060 and 207,948 is: 427,888.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,060 : 207,948 = 207,948 : x
  2. Step 2: Convert to fraction form
    101,060/207,948 = 207,948/x
  3. Step 3: Cross multiply
    101,060x = 207,948 × 207,948
  4. Step 4: Simplify right side
    101,060x = 43,242,370,704
  5. Step 5: Solve for x
    x = 43,242,370,704/101,060
  6. Step 6: Final answer
    x = 427,888.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.