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Finding the Third Proportional to 42,014 and 98,960

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Solution

The third proportional to 42,014 and 98,960 is: 233,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,014 : 98,960 = 98,960 : x
  2. Step 2: Convert to fraction form
    42,014/98,960 = 98,960/x
  3. Step 3: Cross multiply
    42,014x = 98,960 × 98,960
  4. Step 4: Simplify right side
    42,014x = 9,793,081,600
  5. Step 5: Solve for x
    x = 9,793,081,600/42,014
  6. Step 6: Final answer
    x = 233,090.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.