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Finding the Third Proportional to 101,999.25 and 116,032.50

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Solution

The third proportional to 101,999.25 and 116,032.50 is: 131,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,999.25 : 116,032.50 = 116,032.50 : x
  2. Step 2: Convert to fraction form
    101,999.25/116,032.50 = 116,032.50/x
  3. Step 3: Cross multiply
    101,999.25x = 116,032.50 × 116,032.50
  4. Step 4: Simplify right side
    101,999.25x = 13,463,541,056.25
  5. Step 5: Solve for x
    x = 13,463,541,056.25/101,999.25
  6. Step 6: Final answer
    x = 131,996.47

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.