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Finding the Third Proportional to 108,696.75 and 142,935.75

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Solution

The third proportional to 108,696.75 and 142,935.75 is: 187,959.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,696.75 : 142,935.75 = 142,935.75 : x
  2. Step 2: Convert to fraction form
    108,696.75/142,935.75 = 142,935.75/x
  3. Step 3: Cross multiply
    108,696.75x = 142,935.75 × 142,935.75
  4. Step 4: Simplify right side
    108,696.75x = 20,430,628,628.06
  5. Step 5: Solve for x
    x = 20,430,628,628.06/108,696.75
  6. Step 6: Final answer
    x = 187,959.88

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.