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Finding the Third Proportional to 17,906 and 42,120

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Solution

The third proportional to 17,906 and 42,120 is: 99,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906 : 42,120 = 42,120 : x
  2. Step 2: Convert to fraction form
    17,906/42,120 = 42,120/x
  3. Step 3: Cross multiply
    17,906x = 42,120 × 42,120
  4. Step 4: Simplify right side
    17,906x = 1,774,094,400
  5. Step 5: Solve for x
    x = 1,774,094,400/17,906
  6. Step 6: Final answer
    x = 99,078.21

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.