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Finding the Third Proportional to 43,902 and 96,140

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Solution

The third proportional to 43,902 and 96,140 is: 210,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,902 : 96,140 = 96,140 : x
  2. Step 2: Convert to fraction form
    43,902/96,140 = 96,140/x
  3. Step 3: Cross multiply
    43,902x = 96,140 × 96,140
  4. Step 4: Simplify right side
    43,902x = 9,242,899,600
  5. Step 5: Solve for x
    x = 9,242,899,600/43,902
  6. Step 6: Final answer
    x = 210,534.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.