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Finding the Third Proportional to 88,401 and 132,673.50

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Solution

The third proportional to 88,401 and 132,673.50 is: 199,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,401 : 132,673.50 = 132,673.50 : x
  2. Step 2: Convert to fraction form
    88,401/132,673.50 = 132,673.50/x
  3. Step 3: Cross multiply
    88,401x = 132,673.50 × 132,673.50
  4. Step 4: Simplify right side
    88,401x = 17,602,257,602.25
  5. Step 5: Solve for x
    x = 17,602,257,602.25/88,401
  6. Step 6: Final answer
    x = 199,118.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.